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Finding the Fourth Proportional to 59,902.42, 82,679.75 and 36,024.48

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Solution

The fourth proportional to 59,902.42, 82,679.75 and 36,024.48 is: 49,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,902.42 : 82,679.75 = 36,024.48 : x
  2. Step 2: Convert to fraction form
    59,902.42/82,679.75 = 36,024.48/x
  3. Step 3: Cross multiply
    59,902.42x = 82,679.75 × 36,024.48
  4. Step 4: Simplify right side
    59,902.42x = 2,978,495,000.28
  5. Step 5: Solve for x
    x = 2,978,495,000.28/59,902.42
  6. Step 6: Final answer
    x = 49,722.45

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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.