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Finding the Fourth Proportional to 65,229.82, 97,877.56 and 48,623.20

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Solution

The fourth proportional to 65,229.82, 97,877.56 and 48,623.20 is: 72,959.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,229.82 : 97,877.56 = 48,623.20 : x
  2. Step 2: Convert to fraction form
    65,229.82/97,877.56 = 48,623.20/x
  3. Step 3: Cross multiply
    65,229.82x = 97,877.56 × 48,623.20
  4. Step 4: Simplify right side
    65,229.82x = 4,759,120,175.39
  5. Step 5: Solve for x
    x = 4,759,120,175.39/65,229.82
  6. Step 6: Final answer
    x = 72,959.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.