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Finding the Fourth Proportional to 78,069,113.58, 117,102,823.04 and 32,000,711.88

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Solution

The fourth proportional to 78,069,113.58, 117,102,823.04 and 32,000,711.88 is: 48,000,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,069,113.58 : 117,102,823.04 = 32,000,711.88 : x
  2. Step 2: Convert to fraction form
    78,069,113.58/117,102,823.04 = 32,000,711.88/x
  3. Step 3: Cross multiply
    78,069,113.58x = 117,102,823.04 × 32,000,711.88
  4. Step 4: Simplify right side
    78,069,113.58x = 3,747,373,700,437,666
  5. Step 5: Solve for x
    x = 3,747,373,700,437,666/78,069,113.58
  6. Step 6: Final answer
    x = 48,000,720.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.