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Finding the Fourth Proportional to 47,069.76, 70,583.11 and 28,103.01

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Solution

The fourth proportional to 47,069.76, 70,583.11 and 28,103.01 is: 42,141.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,069.76 : 70,583.11 = 28,103.01 : x
  2. Step 2: Convert to fraction form
    47,069.76/70,583.11 = 28,103.01/x
  3. Step 3: Cross multiply
    47,069.76x = 70,583.11 × 28,103.01
  4. Step 4: Simplify right side
    47,069.76x = 1,983,597,493.25
  5. Step 5: Solve for x
    x = 1,983,597,493.25/47,069.76
  6. Step 6: Final answer
    x = 42,141.65

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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.