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Finding the Fourth Proportional to 71,881.92, 107,835.93 and 24,494.58

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Solution

The fourth proportional to 71,881.92, 107,835.93 and 24,494.58 is: 36,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,881.92 : 107,835.93 = 24,494.58 : x
  2. Step 2: Convert to fraction form
    71,881.92/107,835.93 = 24,494.58/x
  3. Step 3: Cross multiply
    71,881.92x = 107,835.93 × 24,494.58
  4. Step 4: Simplify right side
    71,881.92x = 2,641,395,814.26
  5. Step 5: Solve for x
    x = 2,641,395,814.26/71,881.92
  6. Step 6: Final answer
    x = 36,746.32

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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.