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Finding the Fourth Proportional to 84,444.38, 116,487.16 and 54,234.30

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Solution

The fourth proportional to 84,444.38, 116,487.16 and 54,234.30 is: 74,813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,444.38 : 116,487.16 = 54,234.30 : x
  2. Step 2: Convert to fraction form
    84,444.38/116,487.16 = 54,234.30/x
  3. Step 3: Cross multiply
    84,444.38x = 116,487.16 × 54,234.30
  4. Step 4: Simplify right side
    84,444.38x = 6,317,599,446.00
  5. Step 5: Solve for x
    x = 6,317,599,446.00/84,444.38
  6. Step 6: Final answer
    x = 74,813.74

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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.