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Finding the Fourth Proportional to 37,058.38, 51,098.24 and 29,505.03

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Solution

The fourth proportional to 37,058.38, 51,098.24 and 29,505.03 is: 40,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,058.38 : 51,098.24 = 29,505.03 : x
  2. Step 2: Convert to fraction form
    37,058.38/51,098.24 = 29,505.03/x
  3. Step 3: Cross multiply
    37,058.38x = 51,098.24 × 29,505.03
  4. Step 4: Simplify right side
    37,058.38x = 1,507,654,986.29
  5. Step 5: Solve for x
    x = 1,507,654,986.29/37,058.38
  6. Step 6: Final answer
    x = 40,683.24

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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.