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Finding the Fourth Proportional to 54,657.63, 75,427.69 and 31,691.91

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Solution

The fourth proportional to 54,657.63, 75,427.69 and 31,691.91 is: 43,734.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,657.63 : 75,427.69 = 31,691.91 : x
  2. Step 2: Convert to fraction form
    54,657.63/75,427.69 = 31,691.91/x
  3. Step 3: Cross multiply
    54,657.63x = 75,427.69 × 31,691.91
  4. Step 4: Simplify right side
    54,657.63x = 2,390,447,106.62
  5. Step 5: Solve for x
    x = 2,390,447,106.62/54,657.63
  6. Step 6: Final answer
    x = 43,734.92

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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.