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Finding the Fourth Proportional to 65,145.68, 89,901.38 and 36,850.76

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Solution

The fourth proportional to 65,145.68, 89,901.38 and 36,850.76 is: 50,854.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,145.68 : 89,901.38 = 36,850.76 : x
  2. Step 2: Convert to fraction form
    65,145.68/89,901.38 = 36,850.76/x
  3. Step 3: Cross multiply
    65,145.68x = 89,901.38 × 36,850.76
  4. Step 4: Simplify right side
    65,145.68x = 3,312,934,157.80
  5. Step 5: Solve for x
    x = 3,312,934,157.80/65,145.68
  6. Step 6: Final answer
    x = 50,854.24

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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.