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Finding the Fourth Proportional to 54,129.88, 74,708.74 and 31,475.88

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Solution

The fourth proportional to 54,129.88, 74,708.74 and 31,475.88 is: 43,442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,129.88 : 74,708.74 = 31,475.88 : x
  2. Step 2: Convert to fraction form
    54,129.88/74,708.74 = 31,475.88/x
  3. Step 3: Cross multiply
    54,129.88x = 74,708.74 × 31,475.88
  4. Step 4: Simplify right side
    54,129.88x = 2,351,523,335.19
  5. Step 5: Solve for x
    x = 2,351,523,335.19/54,129.88
  6. Step 6: Final answer
    x = 43,442.24

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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.