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Finding the Fourth Proportional to 37,909.68, 56,817 and 29,177.52

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Solution

The fourth proportional to 37,909.68, 56,817 and 29,177.52 is: 43,729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,909.68 : 56,817 = 29,177.52 : x
  2. Step 2: Convert to fraction form
    37,909.68/56,817 = 29,177.52/x
  3. Step 3: Cross multiply
    37,909.68x = 56,817 × 29,177.52
  4. Step 4: Simplify right side
    37,909.68x = 1,657,779,153.84
  5. Step 5: Solve for x
    x = 1,657,779,153.84/37,909.68
  6. Step 6: Final answer
    x = 43,729.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.