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Finding the Fourth Proportional to 54,734.52, 82,101.24 and 17,798.52

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Solution

The fourth proportional to 54,734.52, 82,101.24 and 17,798.52 is: 26,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,734.52 : 82,101.24 = 17,798.52 : x
  2. Step 2: Convert to fraction form
    54,734.52/82,101.24 = 17,798.52/x
  3. Step 3: Cross multiply
    54,734.52x = 82,101.24 × 17,798.52
  4. Step 4: Simplify right side
    54,734.52x = 1,461,280,562.16
  5. Step 5: Solve for x
    x = 1,461,280,562.16/54,734.52
  6. Step 6: Final answer
    x = 26,697.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.