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Finding the Fourth Proportional to 84,024, 126,053.28 and 34,776

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Solution

The fourth proportional to 84,024, 126,053.28 and 34,776 is: 52,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,024 : 126,053.28 = 34,776 : x
  2. Step 2: Convert to fraction form
    84,024/126,053.28 = 34,776/x
  3. Step 3: Cross multiply
    84,024x = 126,053.28 × 34,776
  4. Step 4: Simplify right side
    84,024x = 4,383,628,865.28
  5. Step 5: Solve for x
    x = 4,383,628,865.28/84,024
  6. Step 6: Final answer
    x = 52,171.15

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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.