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Finding the Fourth Proportional to 65,099.50, 89,836.50 and 38,244.46

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Solution

The fourth proportional to 65,099.50, 89,836.50 and 38,244.46 is: 52,776.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,099.50 : 89,836.50 = 38,244.46 : x
  2. Step 2: Convert to fraction form
    65,099.50/89,836.50 = 38,244.46/x
  3. Step 3: Cross multiply
    65,099.50x = 89,836.50 × 38,244.46
  4. Step 4: Simplify right side
    65,099.50x = 3,435,748,430.79
  5. Step 5: Solve for x
    x = 3,435,748,430.79/65,099.50
  6. Step 6: Final answer
    x = 52,776.88

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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.