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Finding the Fourth Proportional to 52,506.92, 78,776.03 and 24,443.56

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Solution

The fourth proportional to 52,506.92, 78,776.03 and 24,443.56 is: 36,672.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,506.92 : 78,776.03 = 24,443.56 : x
  2. Step 2: Convert to fraction form
    52,506.92/78,776.03 = 24,443.56/x
  3. Step 3: Cross multiply
    52,506.92x = 78,776.03 × 24,443.56
  4. Step 4: Simplify right side
    52,506.92x = 1,925,566,615.87
  5. Step 5: Solve for x
    x = 1,925,566,615.87/52,506.92
  6. Step 6: Final answer
    x = 36,672.63

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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.