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Finding the Fourth Proportional to 54,978.48, 75,865.68 and 32,318.19

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Solution

The fourth proportional to 54,978.48, 75,865.68 and 32,318.19 is: 44,596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978.48 : 75,865.68 = 32,318.19 : x
  2. Step 2: Convert to fraction form
    54,978.48/75,865.68 = 32,318.19/x
  3. Step 3: Cross multiply
    54,978.48x = 75,865.68 × 32,318.19
  4. Step 4: Simplify right side
    54,978.48x = 2,451,841,460.72
  5. Step 5: Solve for x
    x = 2,451,841,460.72/54,978.48
  6. Step 6: Final answer
    x = 44,596.38

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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.