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Finding the Fourth Proportional to 54,468.38, 75,154.70 and 31,797.08

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Solution

The fourth proportional to 54,468.38, 75,154.70 and 31,797.08 is: 43,873.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,468.38 : 75,154.70 = 31,797.08 : x
  2. Step 2: Convert to fraction form
    54,468.38/75,154.70 = 31,797.08/x
  3. Step 3: Cross multiply
    54,468.38x = 75,154.70 × 31,797.08
  4. Step 4: Simplify right side
    54,468.38x = 2,389,699,987.03
  5. Step 5: Solve for x
    x = 2,389,699,987.03/54,468.38
  6. Step 6: Final answer
    x = 43,873.16

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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.