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Finding the Fourth Proportional to 98,476.52, 135,897.06 and 53,764.20

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Solution

The fourth proportional to 98,476.52, 135,897.06 and 53,764.20 is: 74,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,476.52 : 135,897.06 = 53,764.20 : x
  2. Step 2: Convert to fraction form
    98,476.52/135,897.06 = 53,764.20/x
  3. Step 3: Cross multiply
    98,476.52x = 135,897.06 × 53,764.20
  4. Step 4: Simplify right side
    98,476.52x = 7,306,396,713.25
  5. Step 5: Solve for x
    x = 7,306,396,713.25/98,476.52
  6. Step 6: Final answer
    x = 74,194.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.