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Finding the Fourth Proportional to 31,008.14, 46,512.18 and 9,120.14

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Solution

The fourth proportional to 31,008.14, 46,512.18 and 9,120.14 is: 13,680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,008.14 : 46,512.18 = 9,120.14 : x
  2. Step 2: Convert to fraction form
    31,008.14/46,512.18 = 9,120.14/x
  3. Step 3: Cross multiply
    31,008.14x = 46,512.18 × 9,120.14
  4. Step 4: Simplify right side
    31,008.14x = 424,197,593.31
  5. Step 5: Solve for x
    x = 424,197,593.31/31,008.14
  6. Step 6: Final answer
    x = 13,680.20

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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.