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Finding the Fourth Proportional to 58,034.25, 86,939.28 and 42,810

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Solution

The fourth proportional to 58,034.25, 86,939.28 and 42,810 is: 64,132.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,034.25 : 86,939.28 = 42,810 : x
  2. Step 2: Convert to fraction form
    58,034.25/86,939.28 = 42,810/x
  3. Step 3: Cross multiply
    58,034.25x = 86,939.28 × 42,810
  4. Step 4: Simplify right side
    58,034.25x = 3,721,870,576.80
  5. Step 5: Solve for x
    x = 3,721,870,576.80/58,034.25
  6. Step 6: Final answer
    x = 64,132.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.