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Finding the Fourth Proportional to 65,655.74, 98,493.33 and 24,099.50

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Solution

The fourth proportional to 65,655.74, 98,493.33 and 24,099.50 is: 36,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,655.74 : 98,493.33 = 24,099.50 : x
  2. Step 2: Convert to fraction form
    65,655.74/98,493.33 = 24,099.50/x
  3. Step 3: Cross multiply
    65,655.74x = 98,493.33 × 24,099.50
  4. Step 4: Simplify right side
    65,655.74x = 2,373,640,006.34
  5. Step 5: Solve for x
    x = 2,373,640,006.34/65,655.74
  6. Step 6: Final answer
    x = 36,152.82

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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.