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Finding the Fourth Proportional to 65,801.42, 90,764.16 and 43,141.88

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Solution

The fourth proportional to 65,801.42, 90,764.16 and 43,141.88 is: 59,508.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,801.42 : 90,764.16 = 43,141.88 : x
  2. Step 2: Convert to fraction form
    65,801.42/90,764.16 = 43,141.88/x
  3. Step 3: Cross multiply
    65,801.42x = 90,764.16 × 43,141.88
  4. Step 4: Simplify right side
    65,801.42x = 3,915,736,283.31
  5. Step 5: Solve for x
    x = 3,915,736,283.31/65,801.42
  6. Step 6: Final answer
    x = 59,508.39

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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.