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Finding the Fourth Proportional to 65,759.76, 98,665.56 and 24,210

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Solution

The fourth proportional to 65,759.76, 98,665.56 and 24,210 is: 36,324.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,759.76 : 98,665.56 = 24,210 : x
  2. Step 2: Convert to fraction form
    65,759.76/98,665.56 = 24,210/x
  3. Step 3: Cross multiply
    65,759.76x = 98,665.56 × 24,210
  4. Step 4: Simplify right side
    65,759.76x = 2,388,693,207.60
  5. Step 5: Solve for x
    x = 2,388,693,207.60/65,759.76
  6. Step 6: Final answer
    x = 36,324.54

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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.