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Finding the Fourth Proportional to 84,817.16, 127,269.48 and 34,934.12

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Solution

The fourth proportional to 84,817.16, 127,269.48 and 34,934.12 is: 52,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,817.16 : 127,269.48 = 34,934.12 : x
  2. Step 2: Convert to fraction form
    84,817.16/127,269.48 = 34,934.12/x
  3. Step 3: Cross multiply
    84,817.16x = 127,269.48 × 34,934.12
  4. Step 4: Simplify right side
    84,817.16x = 4,446,047,286.66
  5. Step 5: Solve for x
    x = 4,446,047,286.66/84,817.16
  6. Step 6: Final answer
    x = 52,419.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.