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Finding the Fourth Proportional to 100,565.82, 150,848.60 and 25,686.05

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Solution

The fourth proportional to 100,565.82, 150,848.60 and 25,686.05 is: 38,529.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,565.82 : 150,848.60 = 25,686.05 : x
  2. Step 2: Convert to fraction form
    100,565.82/150,848.60 = 25,686.05/x
  3. Step 3: Cross multiply
    100,565.82x = 150,848.60 × 25,686.05
  4. Step 4: Simplify right side
    100,565.82x = 3,874,703,799.36
  5. Step 5: Solve for x
    x = 3,874,703,799.36/100,565.82
  6. Step 6: Final answer
    x = 38,529.03

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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.