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Finding the Fourth Proportional to 98,493.24, 135,920.46 and 53,781.24

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Solution

The fourth proportional to 98,493.24, 135,920.46 and 53,781.24 is: 74,218.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,493.24 : 135,920.46 = 53,781.24 : x
  2. Step 2: Convert to fraction form
    98,493.24/135,920.46 = 53,781.24/x
  3. Step 3: Cross multiply
    98,493.24x = 135,920.46 × 53,781.24
  4. Step 4: Simplify right side
    98,493.24x = 7,309,970,880.17
  5. Step 5: Solve for x
    x = 7,309,970,880.17/98,493.24
  6. Step 6: Final answer
    x = 74,218.00

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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.