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Finding the Fourth Proportional to 89,509.86, 123,524.38 and 48,674.11

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Solution

The fourth proportional to 89,509.86, 123,524.38 and 48,674.11 is: 67,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,509.86 : 123,524.38 = 48,674.11 : x
  2. Step 2: Convert to fraction form
    89,509.86/123,524.38 = 48,674.11/x
  3. Step 3: Cross multiply
    89,509.86x = 123,524.38 × 48,674.11
  4. Step 4: Simplify right side
    89,509.86x = 6,012,439,259.80
  5. Step 5: Solve for x
    x = 6,012,439,259.80/89,509.86
  6. Step 6: Final answer
    x = 67,170.69

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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.