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Finding the Fourth Proportional to 51,712.32, 77,451.84 and 23,952

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Solution

The fourth proportional to 51,712.32, 77,451.84 and 23,952 is: 35,873.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,712.32 : 77,451.84 = 23,952 : x
  2. Step 2: Convert to fraction form
    51,712.32/77,451.84 = 23,952/x
  3. Step 3: Cross multiply
    51,712.32x = 77,451.84 × 23,952
  4. Step 4: Simplify right side
    51,712.32x = 1,855,126,471.68
  5. Step 5: Solve for x
    x = 1,855,126,471.68/51,712.32
  6. Step 6: Final answer
    x = 35,873.97

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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.