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Finding the Fourth Proportional to 65,059.10, 89,780.38 and 36,764.18

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Solution

The fourth proportional to 65,059.10, 89,780.38 and 36,764.18 is: 50,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,059.10 : 89,780.38 = 36,764.18 : x
  2. Step 2: Convert to fraction form
    65,059.10/89,780.38 = 36,764.18/x
  3. Step 3: Cross multiply
    65,059.10x = 89,780.38 × 36,764.18
  4. Step 4: Simplify right side
    65,059.10x = 3,300,701,601.89
  5. Step 5: Solve for x
    x = 3,300,701,601.89/65,059.10
  6. Step 6: Final answer
    x = 50,733.90

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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.