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Finding the Fourth Proportional to 98,342.16, 135,691.84 and 57,498.41

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Solution

The fourth proportional to 98,342.16, 135,691.84 and 57,498.41 is: 79,335.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,342.16 : 135,691.84 = 57,498.41 : x
  2. Step 2: Convert to fraction form
    98,342.16/135,691.84 = 57,498.41/x
  3. Step 3: Cross multiply
    98,342.16x = 135,691.84 × 57,498.41
  4. Step 4: Simplify right side
    98,342.16x = 7,802,064,762.48
  5. Step 5: Solve for x
    x = 7,802,064,762.48/98,342.16
  6. Step 6: Final answer
    x = 79,335.91

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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.