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Finding the Fourth Proportional to 123,670.70, 185,513.24 and 34,916.78

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Solution

The fourth proportional to 123,670.70, 185,513.24 and 34,916.78 is: 52,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,670.70 : 185,513.24 = 34,916.78 : x
  2. Step 2: Convert to fraction form
    123,670.70/185,513.24 = 34,916.78/x
  3. Step 3: Cross multiply
    123,670.70x = 185,513.24 × 34,916.78
  4. Step 4: Simplify right side
    123,670.70x = 6,477,524,988.17
  5. Step 5: Solve for x
    x = 6,477,524,988.17/123,670.70
  6. Step 6: Final answer
    x = 52,377.20

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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.