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Finding the Fourth Proportional to 98,294.64, 135,649.47 and 55,854.96

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Solution

The fourth proportional to 98,294.64, 135,649.47 and 55,854.96 is: 77,081.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,294.64 : 135,649.47 = 55,854.96 : x
  2. Step 2: Convert to fraction form
    98,294.64/135,649.47 = 55,854.96/x
  3. Step 3: Cross multiply
    98,294.64x = 135,649.47 × 55,854.96
  4. Step 4: Simplify right side
    98,294.64x = 7,576,695,720.87
  5. Step 5: Solve for x
    x = 7,576,695,720.87/98,294.64
  6. Step 6: Final answer
    x = 77,081.47

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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.