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Finding the Fourth Proportional to 106,987.71, 160,476.69 and 40,422.72

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Solution

The fourth proportional to 106,987.71, 160,476.69 and 40,422.72 is: 60,632.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,987.71 : 160,476.69 = 40,422.72 : x
  2. Step 2: Convert to fraction form
    106,987.71/160,476.69 = 40,422.72/x
  3. Step 3: Cross multiply
    106,987.71x = 160,476.69 × 40,422.72
  4. Step 4: Simplify right side
    106,987.71x = 6,486,904,306.40
  5. Step 5: Solve for x
    x = 6,486,904,306.40/106,987.71
  6. Step 6: Final answer
    x = 60,632.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.