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Finding the Fourth Proportional to 47,722.60, 65,854.38 and 26,500.60

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Solution

The fourth proportional to 47,722.60, 65,854.38 and 26,500.60 is: 36,569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,722.60 : 65,854.38 = 26,500.60 : x
  2. Step 2: Convert to fraction form
    47,722.60/65,854.38 = 26,500.60/x
  3. Step 3: Cross multiply
    47,722.60x = 65,854.38 × 26,500.60
  4. Step 4: Simplify right side
    47,722.60x = 1,745,180,582.63
  5. Step 5: Solve for x
    x = 1,745,180,582.63/47,722.60
  6. Step 6: Final answer
    x = 36,569.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.