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Finding the Fourth Proportional to 84,776, 127,186.68 and 29,372

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Solution

The fourth proportional to 84,776, 127,186.68 and 29,372 is: 44,065.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,776 : 127,186.68 = 29,372 : x
  2. Step 2: Convert to fraction form
    84,776/127,186.68 = 29,372/x
  3. Step 3: Cross multiply
    84,776x = 127,186.68 × 29,372
  4. Step 4: Simplify right side
    84,776x = 3,735,727,164.96
  5. Step 5: Solve for x
    x = 3,735,727,164.96/84,776
  6. Step 6: Final answer
    x = 44,065.86

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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.