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Finding the Fourth Proportional to 31,207.49, 46,801.51 and 10,426.13

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Solution

The fourth proportional to 31,207.49, 46,801.51 and 10,426.13 is: 15,635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,207.49 : 46,801.51 = 10,426.13 : x
  2. Step 2: Convert to fraction form
    31,207.49/46,801.51 = 10,426.13/x
  3. Step 3: Cross multiply
    31,207.49x = 46,801.51 × 10,426.13
  4. Step 4: Simplify right side
    31,207.49x = 487,958,627.46
  5. Step 5: Solve for x
    x = 487,958,627.46/31,207.49
  6. Step 6: Final answer
    x = 15,635.95

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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.