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Finding the Fourth Proportional to 54,988.33, 75,885.50 and 31,114.49

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Solution

The fourth proportional to 54,988.33, 75,885.50 and 31,114.49 is: 42,938.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,988.33 : 75,885.50 = 31,114.49 : x
  2. Step 2: Convert to fraction form
    54,988.33/75,885.50 = 31,114.49/x
  3. Step 3: Cross multiply
    54,988.33x = 75,885.50 × 31,114.49
  4. Step 4: Simplify right side
    54,988.33x = 2,361,138,475.32
  5. Step 5: Solve for x
    x = 2,361,138,475.32/54,988.33
  6. Step 6: Final answer
    x = 42,938.90

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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.