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Finding the Fourth Proportional to 31,194.52, 46,777.88 and 9,002.62

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Solution

The fourth proportional to 31,194.52, 46,777.88 and 9,002.62 is: 13,499.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194.52 : 46,777.88 = 9,002.62 : x
  2. Step 2: Convert to fraction form
    31,194.52/46,777.88 = 9,002.62/x
  3. Step 3: Cross multiply
    31,194.52x = 46,777.88 × 9,002.62
  4. Step 4: Simplify right side
    31,194.52x = 421,123,402.14
  5. Step 5: Solve for x
    x = 421,123,402.14/31,194.52
  6. Step 6: Final answer
    x = 13,499.92

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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.