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Finding the Fourth Proportional to 71,820.83, 107,664.21 and 24,403.48

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Solution

The fourth proportional to 71,820.83, 107,664.21 and 24,403.48 is: 36,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,820.83 : 107,664.21 = 24,403.48 : x
  2. Step 2: Convert to fraction form
    71,820.83/107,664.21 = 24,403.48/x
  3. Step 3: Cross multiply
    71,820.83x = 107,664.21 × 24,403.48
  4. Step 4: Simplify right side
    71,820.83x = 2,627,381,126.29
  5. Step 5: Solve for x
    x = 2,627,381,126.29/71,820.83
  6. Step 6: Final answer
    x = 36,582.44

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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.