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Finding the Fourth Proportional to 65,454.80, 90,327.71 and 37,160.49

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Solution

The fourth proportional to 65,454.80, 90,327.71 and 37,160.49 is: 51,281.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,454.80 : 90,327.71 = 37,160.49 : x
  2. Step 2: Convert to fraction form
    65,454.80/90,327.71 = 37,160.49/x
  3. Step 3: Cross multiply
    65,454.80x = 90,327.71 × 37,160.49
  4. Step 4: Simplify right side
    65,454.80x = 3,356,622,104.38
  5. Step 5: Solve for x
    x = 3,356,622,104.38/65,454.80
  6. Step 6: Final answer
    x = 51,281.53

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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.