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Finding the Fourth Proportional to 86,563.86, 129,836.07 and 24,239.22

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Solution

The fourth proportional to 86,563.86, 129,836.07 and 24,239.22 is: 36,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,563.86 : 129,836.07 = 24,239.22 : x
  2. Step 2: Convert to fraction form
    86,563.86/129,836.07 = 24,239.22/x
  3. Step 3: Cross multiply
    86,563.86x = 129,836.07 × 24,239.22
  4. Step 4: Simplify right side
    86,563.86x = 3,147,125,064.67
  5. Step 5: Solve for x
    x = 3,147,125,064.67/86,563.86
  6. Step 6: Final answer
    x = 36,356.11

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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.