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Finding the Fourth Proportional to 83,202.52, 124,779.13 and 24,038.72

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Solution

The fourth proportional to 83,202.52, 124,779.13 and 24,038.72 is: 36,050.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,202.52 : 124,779.13 = 24,038.72 : x
  2. Step 2: Convert to fraction form
    83,202.52/124,779.13 = 24,038.72/x
  3. Step 3: Cross multiply
    83,202.52x = 124,779.13 × 24,038.72
  4. Step 4: Simplify right side
    83,202.52x = 2,999,530,567.91
  5. Step 5: Solve for x
    x = 2,999,530,567.91/83,202.52
  6. Step 6: Final answer
    x = 36,050.96

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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.