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Finding the Fourth Proportional to 47,797.12, 65,957.12 and 26,575.68

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Solution

The fourth proportional to 47,797.12, 65,957.12 and 26,575.68 is: 36,672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,797.12 : 65,957.12 = 26,575.68 : x
  2. Step 2: Convert to fraction form
    47,797.12/65,957.12 = 26,575.68/x
  3. Step 3: Cross multiply
    47,797.12x = 65,957.12 × 26,575.68
  4. Step 4: Simplify right side
    47,797.12x = 1,752,855,314.84
  5. Step 5: Solve for x
    x = 1,752,855,314.84/47,797.12
  6. Step 6: Final answer
    x = 36,672.82

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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.