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Finding the Fourth Proportional to 84,641.61, 126,978.48 and 34,044.51

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Solution

The fourth proportional to 84,641.61, 126,978.48 and 34,044.51 is: 51,073.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,641.61 : 126,978.48 = 34,044.51 : x
  2. Step 2: Convert to fraction form
    84,641.61/126,978.48 = 34,044.51/x
  3. Step 3: Cross multiply
    84,641.61x = 126,978.48 × 34,044.51
  4. Step 4: Simplify right side
    84,641.61x = 4,322,920,132.14
  5. Step 5: Solve for x
    x = 4,322,920,132.14/84,641.61
  6. Step 6: Final answer
    x = 51,073.23

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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.