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Finding the Fourth Proportional to 84,638.55, 116,748.09 and 54,463.08

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Solution

The fourth proportional to 84,638.55, 116,748.09 and 54,463.08 is: 75,124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,638.55 : 116,748.09 = 54,463.08 : x
  2. Step 2: Convert to fraction form
    84,638.55/116,748.09 = 54,463.08/x
  3. Step 3: Cross multiply
    84,638.55x = 116,748.09 × 54,463.08
  4. Step 4: Simplify right side
    84,638.55x = 6,358,460,565.52
  5. Step 5: Solve for x
    x = 6,358,460,565.52/84,638.55
  6. Step 6: Final answer
    x = 75,124.88

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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.