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Finding the Fourth Proportional to 84,806, 127,267.32 and 29,402

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Solution

The fourth proportional to 84,806, 127,267.32 and 29,402 is: 44,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,806 : 127,267.32 = 29,402 : x
  2. Step 2: Convert to fraction form
    84,806/127,267.32 = 29,402/x
  3. Step 3: Cross multiply
    84,806x = 127,267.32 × 29,402
  4. Step 4: Simplify right side
    84,806x = 3,741,913,742.64
  5. Step 5: Solve for x
    x = 3,741,913,742.64/84,806
  6. Step 6: Final answer
    x = 44,123.22

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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.