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Finding the Fourth Proportional to 65,320.29, 90,158.67 and 37,042.38

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Solution

The fourth proportional to 65,320.29, 90,158.67 and 37,042.38 is: 51,127.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,320.29 : 90,158.67 = 37,042.38 : x
  2. Step 2: Convert to fraction form
    65,320.29/90,158.67 = 37,042.38/x
  3. Step 3: Cross multiply
    65,320.29x = 90,158.67 × 37,042.38
  4. Step 4: Simplify right side
    65,320.29x = 3,339,691,714.43
  5. Step 5: Solve for x
    x = 3,339,691,714.43/65,320.29
  6. Step 6: Final answer
    x = 51,127.94

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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.