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Finding the Fourth Proportional to 75,596.73, 113,368.10 and 24,986.40

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Solution

The fourth proportional to 75,596.73, 113,368.10 and 24,986.40 is: 37,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,596.73 : 113,368.10 = 24,986.40 : x
  2. Step 2: Convert to fraction form
    75,596.73/113,368.10 = 24,986.40/x
  3. Step 3: Cross multiply
    75,596.73x = 113,368.10 × 24,986.40
  4. Step 4: Simplify right side
    75,596.73x = 2,832,660,568.91
  5. Step 5: Solve for x
    x = 2,832,660,568.91/75,596.73
  6. Step 6: Final answer
    x = 37,470.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.