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Finding the Fourth Proportional to 54,798.47, 82,202.95 and 15,355.47

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Solution

The fourth proportional to 54,798.47, 82,202.95 and 15,355.47 is: 23,034.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,798.47 : 82,202.95 = 15,355.47 : x
  2. Step 2: Convert to fraction form
    54,798.47/82,202.95 = 15,355.47/x
  3. Step 3: Cross multiply
    54,798.47x = 82,202.95 × 15,355.47
  4. Step 4: Simplify right side
    54,798.47x = 1,262,265,260.09
  5. Step 5: Solve for x
    x = 1,262,265,260.09/54,798.47
  6. Step 6: Final answer
    x = 23,034.68

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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.