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Finding the Fourth Proportional to 31,145.97, 46,725.11 and 11,424.71

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Solution

The fourth proportional to 31,145.97, 46,725.11 and 11,424.71 is: 17,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,145.97 : 46,725.11 = 11,424.71 : x
  2. Step 2: Convert to fraction form
    31,145.97/46,725.11 = 11,424.71/x
  3. Step 3: Cross multiply
    31,145.97x = 46,725.11 × 11,424.71
  4. Step 4: Simplify right side
    31,145.97x = 533,820,831.47
  5. Step 5: Solve for x
    x = 533,820,831.47/31,145.97
  6. Step 6: Final answer
    x = 17,139.32

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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.