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Finding the Fourth Proportional to 47,682.98, 71,526.90 and 16,094.19

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Solution

The fourth proportional to 47,682.98, 71,526.90 and 16,094.19 is: 24,142.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,682.98 : 71,526.90 = 16,094.19 : x
  2. Step 2: Convert to fraction form
    47,682.98/71,526.90 = 16,094.19/x
  3. Step 3: Cross multiply
    47,682.98x = 71,526.90 × 16,094.19
  4. Step 4: Simplify right side
    47,682.98x = 1,151,167,756.76
  5. Step 5: Solve for x
    x = 1,151,167,756.76/47,682.98
  6. Step 6: Final answer
    x = 24,142.11

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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.