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Finding the Fourth Proportional to 75,589.38, 104,322.98 and 48,809.74

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Solution

The fourth proportional to 75,589.38, 104,322.98 and 48,809.74 is: 67,363.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,589.38 : 104,322.98 = 48,809.74 : x
  2. Step 2: Convert to fraction form
    75,589.38/104,322.98 = 48,809.74/x
  3. Step 3: Cross multiply
    75,589.38x = 104,322.98 × 48,809.74
  4. Step 4: Simplify right side
    75,589.38x = 5,091,977,243.45
  5. Step 5: Solve for x
    x = 5,091,977,243.45/75,589.38
  6. Step 6: Final answer
    x = 67,363.66

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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.