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Finding the Fourth Proportional to 97,842.92, 134,979.74 and 63,843.56

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Solution

The fourth proportional to 97,842.92, 134,979.74 and 63,843.56 is: 88,075.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,842.92 : 134,979.74 = 63,843.56 : x
  2. Step 2: Convert to fraction form
    97,842.92/134,979.74 = 63,843.56/x
  3. Step 3: Cross multiply
    97,842.92x = 134,979.74 × 63,843.56
  4. Step 4: Simplify right side
    97,842.92x = 8,617,587,129.47
  5. Step 5: Solve for x
    x = 8,617,587,129.47/97,842.92
  6. Step 6: Final answer
    x = 88,075.74

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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.