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Finding the Fourth Proportional to 83,421.87, 115,132.30 and 47,124.85

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Solution

The fourth proportional to 83,421.87, 115,132.30 and 47,124.85 is: 65,038.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,421.87 : 115,132.30 = 47,124.85 : x
  2. Step 2: Convert to fraction form
    83,421.87/115,132.30 = 47,124.85/x
  3. Step 3: Cross multiply
    83,421.87x = 115,132.30 × 47,124.85
  4. Step 4: Simplify right side
    83,421.87x = 5,425,592,163.20
  5. Step 5: Solve for x
    x = 5,425,592,163.20/83,421.87
  6. Step 6: Final answer
    x = 65,038.00

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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.