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Finding the Fourth Proportional to 57,265.82, 79,036.32 and 31,780.38

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Solution

The fourth proportional to 57,265.82, 79,036.32 and 31,780.38 is: 43,862.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,265.82 : 79,036.32 = 31,780.38 : x
  2. Step 2: Convert to fraction form
    57,265.82/79,036.32 = 31,780.38/x
  3. Step 3: Cross multiply
    57,265.82x = 79,036.32 × 31,780.38
  4. Step 4: Simplify right side
    57,265.82x = 2,511,804,032.10
  5. Step 5: Solve for x
    x = 2,511,804,032.10/57,265.82
  6. Step 6: Final answer
    x = 43,862.18

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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.