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Finding the Fourth Proportional to 52,038.60, 71,813.49 and 29,377.86

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Solution

The fourth proportional to 52,038.60, 71,813.49 and 29,377.86 is: 40,541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,038.60 : 71,813.49 = 29,377.86 : x
  2. Step 2: Convert to fraction form
    52,038.60/71,813.49 = 29,377.86/x
  3. Step 3: Cross multiply
    52,038.60x = 71,813.49 × 29,377.86
  4. Step 4: Simplify right side
    52,038.60x = 2,109,726,655.33
  5. Step 5: Solve for x
    x = 2,109,726,655.33/52,038.60
  6. Step 6: Final answer
    x = 40,541.57

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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.