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Finding the Fourth Proportional to 86,564.86, 129,837.57 and 24,240.22

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Solution

The fourth proportional to 86,564.86, 129,837.57 and 24,240.22 is: 36,357.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,564.86 : 129,837.57 = 24,240.22 : x
  2. Step 2: Convert to fraction form
    86,564.86/129,837.57 = 24,240.22/x
  3. Step 3: Cross multiply
    86,564.86x = 129,837.57 × 24,240.22
  4. Step 4: Simplify right side
    86,564.86x = 3,147,291,261.07
  5. Step 5: Solve for x
    x = 3,147,291,261.07/86,564.86
  6. Step 6: Final answer
    x = 36,357.61

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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.