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Finding the Fourth Proportional to 53,655.87, 74,045.10 and 29,782.54

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Solution

The fourth proportional to 53,655.87, 74,045.10 and 29,782.54 is: 41,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,655.87 : 74,045.10 = 29,782.54 : x
  2. Step 2: Convert to fraction form
    53,655.87/74,045.10 = 29,782.54/x
  3. Step 3: Cross multiply
    53,655.87x = 74,045.10 × 29,782.54
  4. Step 4: Simplify right side
    53,655.87x = 2,205,251,152.55
  5. Step 5: Solve for x
    x = 2,205,251,152.55/53,655.87
  6. Step 6: Final answer
    x = 41,099.90

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