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Finding the Fourth Proportional to 84,770.48, 127,213.32 and 29,366

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Solution

The fourth proportional to 84,770.48, 127,213.32 and 29,366 is: 44,068.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,770.48 : 127,213.32 = 29,366 : x
  2. Step 2: Convert to fraction form
    84,770.48/127,213.32 = 29,366/x
  3. Step 3: Cross multiply
    84,770.48x = 127,213.32 × 29,366
  4. Step 4: Simplify right side
    84,770.48x = 3,735,746,355.12
  5. Step 5: Solve for x
    x = 3,735,746,355.12/84,770.48
  6. Step 6: Final answer
    x = 44,068.95

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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.