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Finding the Fourth Proportional to 76,910.38, 106,136.12 and 42,916.84

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Solution

The fourth proportional to 76,910.38, 106,136.12 and 42,916.84 is: 59,225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,910.38 : 106,136.12 = 42,916.84 : x
  2. Step 2: Convert to fraction form
    76,910.38/106,136.12 = 42,916.84/x
  3. Step 3: Cross multiply
    76,910.38x = 106,136.12 × 42,916.84
  4. Step 4: Simplify right side
    76,910.38x = 4,555,026,722.21
  5. Step 5: Solve for x
    x = 4,555,026,722.21/76,910.38
  6. Step 6: Final answer
    x = 59,225.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.