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Finding the Fourth Proportional to 65,518.91, 98,323.80 and 29,984.56

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Solution

The fourth proportional to 65,518.91, 98,323.80 and 29,984.56 is: 44,997.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,518.91 : 98,323.80 = 29,984.56 : x
  2. Step 2: Convert to fraction form
    65,518.91/98,323.80 = 29,984.56/x
  3. Step 3: Cross multiply
    65,518.91x = 98,323.80 × 29,984.56
  4. Step 4: Simplify right side
    65,518.91x = 2,948,195,730.61
  5. Step 5: Solve for x
    x = 2,948,195,730.61/65,518.91
  6. Step 6: Final answer
    x = 44,997.63

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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.