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Finding the Fourth Proportional to 66,820.86, 100,232.64 and 24,679.22

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Solution

The fourth proportional to 66,820.86, 100,232.64 and 24,679.22 is: 37,019.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,820.86 : 100,232.64 = 24,679.22 : x
  2. Step 2: Convert to fraction form
    66,820.86/100,232.64 = 24,679.22/x
  3. Step 3: Cross multiply
    66,820.86x = 100,232.64 × 24,679.22
  4. Step 4: Simplify right side
    66,820.86x = 2,473,663,373.74
  5. Step 5: Solve for x
    x = 2,473,663,373.74/66,820.86
  6. Step 6: Final answer
    x = 37,019.33

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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.