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Finding the Fourth Proportional to 71,228.35, 106,827.94 and 24,484.87

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Solution

The fourth proportional to 71,228.35, 106,827.94 and 24,484.87 is: 36,722.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,228.35 : 106,827.94 = 24,484.87 : x
  2. Step 2: Convert to fraction form
    71,228.35/106,827.94 = 24,484.87/x
  3. Step 3: Cross multiply
    71,228.35x = 106,827.94 × 24,484.87
  4. Step 4: Simplify right side
    71,228.35x = 2,615,668,223.27
  5. Step 5: Solve for x
    x = 2,615,668,223.27/71,228.35
  6. Step 6: Final answer
    x = 36,722.29

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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.