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Finding the Fourth Proportional to 47,729.60, 65,866.92 and 26,508.32

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Solution

The fourth proportional to 47,729.60, 65,866.92 and 26,508.32 is: 36,581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,729.60 : 65,866.92 = 26,508.32 : x
  2. Step 2: Convert to fraction form
    47,729.60/65,866.92 = 26,508.32/x
  3. Step 3: Cross multiply
    47,729.60x = 65,866.92 × 26,508.32
  4. Step 4: Simplify right side
    47,729.60x = 1,746,021,392.77
  5. Step 5: Solve for x
    x = 1,746,021,392.77/47,729.60
  6. Step 6: Final answer
    x = 36,581.52

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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.