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Finding the Fourth Proportional to 83,471.16, 115,300.62 and 62,213.52

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Solution

The fourth proportional to 83,471.16, 115,300.62 and 62,213.52 is: 85,936.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,471.16 : 115,300.62 = 62,213.52 : x
  2. Step 2: Convert to fraction form
    83,471.16/115,300.62 = 62,213.52/x
  3. Step 3: Cross multiply
    83,471.16x = 115,300.62 × 62,213.52
  4. Step 4: Simplify right side
    83,471.16x = 7,173,257,428.38
  5. Step 5: Solve for x
    x = 7,173,257,428.38/83,471.16
  6. Step 6: Final answer
    x = 85,936.96

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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.