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Finding the Fourth Proportional to 42,471.70, 63,715.20 and 17,498.10

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Solution

The fourth proportional to 42,471.70, 63,715.20 and 17,498.10 is: 26,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,471.70 : 63,715.20 = 17,498.10 : x
  2. Step 2: Convert to fraction form
    42,471.70/63,715.20 = 17,498.10/x
  3. Step 3: Cross multiply
    42,471.70x = 63,715.20 × 17,498.10
  4. Step 4: Simplify right side
    42,471.70x = 1,114,894,941.12
  5. Step 5: Solve for x
    x = 1,114,894,941.12/42,471.70
  6. Step 6: Final answer
    x = 26,250.30

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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.