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Finding the Fourth Proportional to 31,084.54, 46,635.90 and 10,024.16

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Solution

The fourth proportional to 31,084.54, 46,635.90 and 10,024.16 is: 15,039.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,084.54 : 46,635.90 = 10,024.16 : x
  2. Step 2: Convert to fraction form
    31,084.54/46,635.90 = 10,024.16/x
  3. Step 3: Cross multiply
    31,084.54x = 46,635.90 × 10,024.16
  4. Step 4: Simplify right side
    31,084.54x = 467,485,723.34
  5. Step 5: Solve for x
    x = 467,485,723.34/31,084.54
  6. Step 6: Final answer
    x = 15,039.17

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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.