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Finding the Fourth Proportional to 83,420.96, 115,119.78 and 47,631.92

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Solution

The fourth proportional to 83,420.96, 115,119.78 and 47,631.92 is: 65,731.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,420.96 : 115,119.78 = 47,631.92 : x
  2. Step 2: Convert to fraction form
    83,420.96/115,119.78 = 47,631.92/x
  3. Step 3: Cross multiply
    83,420.96x = 115,119.78 × 47,631.92
  4. Step 4: Simplify right side
    83,420.96x = 5,483,376,151.38
  5. Step 5: Solve for x
    x = 5,483,376,151.38/83,420.96
  6. Step 6: Final answer
    x = 65,731.40

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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.