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Finding the Fourth Proportional to 106,691.24, 160,045.01 and 31,805.66

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Solution

The fourth proportional to 106,691.24, 160,045.01 and 31,805.66 is: 47,710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,691.24 : 160,045.01 = 31,805.66 : x
  2. Step 2: Convert to fraction form
    106,691.24/160,045.01 = 31,805.66/x
  3. Step 3: Cross multiply
    106,691.24x = 160,045.01 × 31,805.66
  4. Step 4: Simplify right side
    106,691.24x = 5,090,336,213.50
  5. Step 5: Solve for x
    x = 5,090,336,213.50/106,691.24
  6. Step 6: Final answer
    x = 47,710.91

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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.