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Finding the Fourth Proportional to 51,773.50, 71,447.43 and 29,417.50

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Solution

The fourth proportional to 51,773.50, 71,447.43 and 29,417.50 is: 40,596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,773.50 : 71,447.43 = 29,417.50 : x
  2. Step 2: Convert to fraction form
    51,773.50/71,447.43 = 29,417.50/x
  3. Step 3: Cross multiply
    51,773.50x = 71,447.43 × 29,417.50
  4. Step 4: Simplify right side
    51,773.50x = 2,101,804,772.03
  5. Step 5: Solve for x
    x = 2,101,804,772.03/51,773.50
  6. Step 6: Final answer
    x = 40,596.15

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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.