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Finding the Fourth Proportional to 84,232, 126,358.24 and 25,864

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Solution

The fourth proportional to 84,232, 126,358.24 and 25,864 is: 38,799.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,232 : 126,358.24 = 25,864 : x
  2. Step 2: Convert to fraction form
    84,232/126,358.24 = 25,864/x
  3. Step 3: Cross multiply
    84,232x = 126,358.24 × 25,864
  4. Step 4: Simplify right side
    84,232x = 3,268,129,519.36
  5. Step 5: Solve for x
    x = 3,268,129,519.36/84,232
  6. Step 6: Final answer
    x = 38,799.14

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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.