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Finding the Fourth Proportional to 65,921.38, 90,987.78 and 37,643.47

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Solution

The fourth proportional to 65,921.38, 90,987.78 and 37,643.47 is: 51,957.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,921.38 : 90,987.78 = 37,643.47 : x
  2. Step 2: Convert to fraction form
    65,921.38/90,987.78 = 37,643.47/x
  3. Step 3: Cross multiply
    65,921.38x = 90,987.78 × 37,643.47
  4. Step 4: Simplify right side
    65,921.38x = 3,425,095,766.80
  5. Step 5: Solve for x
    x = 3,425,095,766.80/65,921.38
  6. Step 6: Final answer
    x = 51,957.28

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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.