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Finding the Fourth Proportional to 54,987.33, 75,884.12 and 31,113.49

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Solution

The fourth proportional to 54,987.33, 75,884.12 and 31,113.49 is: 42,937.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,987.33 : 75,884.12 = 31,113.49 : x
  2. Step 2: Convert to fraction form
    54,987.33/75,884.12 = 31,113.49/x
  3. Step 3: Cross multiply
    54,987.33x = 75,884.12 × 31,113.49
  4. Step 4: Simplify right side
    54,987.33x = 2,361,019,848.38
  5. Step 5: Solve for x
    x = 2,361,019,848.38/54,987.33
  6. Step 6: Final answer
    x = 42,937.52

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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.