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Finding the Fourth Proportional to 65,177.16, 89,949.86 and 36,503.42

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Solution

The fourth proportional to 65,177.16, 89,949.86 and 36,503.42 is: 50,377.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,177.16 : 89,949.86 = 36,503.42 : x
  2. Step 2: Convert to fraction form
    65,177.16/89,949.86 = 36,503.42/x
  3. Step 3: Cross multiply
    65,177.16x = 89,949.86 × 36,503.42
  4. Step 4: Simplify right side
    65,177.16x = 3,283,477,617.10
  5. Step 5: Solve for x
    x = 3,283,477,617.10/65,177.16
  6. Step 6: Final answer
    x = 50,377.74

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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.