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Finding the Fourth Proportional to 31,142.60, 46,713.88 and 10,366.10

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Solution

The fourth proportional to 31,142.60, 46,713.88 and 10,366.10 is: 15,549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,142.60 : 46,713.88 = 10,366.10 : x
  2. Step 2: Convert to fraction form
    31,142.60/46,713.88 = 10,366.10/x
  3. Step 3: Cross multiply
    31,142.60x = 46,713.88 × 10,366.10
  4. Step 4: Simplify right side
    31,142.60x = 484,240,699.64
  5. Step 5: Solve for x
    x = 484,240,699.64/31,142.60
  6. Step 6: Final answer
    x = 15,549.14

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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.