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Finding the Fourth Proportional to 31,035.59, 46,545.15 and 8,540.93

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Solution

The fourth proportional to 31,035.59, 46,545.15 and 8,540.93 is: 12,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,035.59 : 46,545.15 = 8,540.93 : x
  2. Step 2: Convert to fraction form
    31,035.59/46,545.15 = 8,540.93/x
  3. Step 3: Cross multiply
    31,035.59x = 46,545.15 × 8,540.93
  4. Step 4: Simplify right side
    31,035.59x = 397,538,635.26
  5. Step 5: Solve for x
    x = 397,538,635.26/31,035.59
  6. Step 6: Final answer
    x = 12,809.12

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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.