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Finding the Fourth Proportional to 106,492.26, 159,691.65 and 39,885.66

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Solution

The fourth proportional to 106,492.26, 159,691.65 and 39,885.66 is: 59,810.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,492.26 : 159,691.65 = 39,885.66 : x
  2. Step 2: Convert to fraction form
    106,492.26/159,691.65 = 39,885.66/x
  3. Step 3: Cross multiply
    106,492.26x = 159,691.65 × 39,885.66
  4. Step 4: Simplify right side
    106,492.26x = 6,369,406,856.74
  5. Step 5: Solve for x
    x = 6,369,406,856.74/106,492.26
  6. Step 6: Final answer
    x = 59,810.98

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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.