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Finding the Fourth Proportional to 106,046.40, 159,070.70 and 31,167.88

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Solution

The fourth proportional to 106,046.40, 159,070.70 and 31,167.88 is: 46,752.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,046.40 : 159,070.70 = 31,167.88 : x
  2. Step 2: Convert to fraction form
    106,046.40/159,070.70 = 31,167.88/x
  3. Step 3: Cross multiply
    106,046.40x = 159,070.70 × 31,167.88
  4. Step 4: Simplify right side
    106,046.40x = 4,957,896,489.12
  5. Step 5: Solve for x
    x = 4,957,896,489.12/106,046.40
  6. Step 6: Final answer
    x = 46,752.14

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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.