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Finding the Fourth Proportional to 42,765.71, 58,985.21 and 31,431.38

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Solution

The fourth proportional to 42,765.71, 58,985.21 and 31,431.38 is: 43,352.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,765.71 : 58,985.21 = 31,431.38 : x
  2. Step 2: Convert to fraction form
    42,765.71/58,985.21 = 31,431.38/x
  3. Step 3: Cross multiply
    42,765.71x = 58,985.21 × 31,431.38
  4. Step 4: Simplify right side
    42,765.71x = 1,853,986,333.54
  5. Step 5: Solve for x
    x = 1,853,986,333.54/42,765.71
  6. Step 6: Final answer
    x = 43,352.18

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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.