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Finding the Fourth Proportional to 84,753.96, 116,963.10 and 47,031.72

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Solution

The fourth proportional to 84,753.96, 116,963.10 and 47,031.72 is: 64,905.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,753.96 : 116,963.10 = 47,031.72 : x
  2. Step 2: Convert to fraction form
    84,753.96/116,963.10 = 47,031.72/x
  3. Step 3: Cross multiply
    84,753.96x = 116,963.10 × 47,031.72
  4. Step 4: Simplify right side
    84,753.96x = 5,500,975,769.53
  5. Step 5: Solve for x
    x = 5,500,975,769.53/84,753.96
  6. Step 6: Final answer
    x = 64,905.24

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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.