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Finding the Fourth Proportional to 31,145.61, 46,706.13 and 13,603.17

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Solution

The fourth proportional to 31,145.61, 46,706.13 and 13,603.17 is: 20,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,145.61 : 46,706.13 = 13,603.17 : x
  2. Step 2: Convert to fraction form
    31,145.61/46,706.13 = 13,603.17/x
  3. Step 3: Cross multiply
    31,145.61x = 46,706.13 × 13,603.17
  4. Step 4: Simplify right side
    31,145.61x = 635,351,426.43
  5. Step 5: Solve for x
    x = 635,351,426.43/31,145.61
  6. Step 6: Final answer
    x = 20,399.39

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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.