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Finding the Fourth Proportional to 52,175.99, 72,004.14 and 29,513.90

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Solution

The fourth proportional to 52,175.99, 72,004.14 and 29,513.90 is: 40,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,175.99 : 72,004.14 = 29,513.90 : x
  2. Step 2: Convert to fraction form
    52,175.99/72,004.14 = 29,513.90/x
  3. Step 3: Cross multiply
    52,175.99x = 72,004.14 × 29,513.90
  4. Step 4: Simplify right side
    52,175.99x = 2,125,123,167.56
  5. Step 5: Solve for x
    x = 2,125,123,167.56/52,175.99
  6. Step 6: Final answer
    x = 40,729.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.