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Finding the Fourth Proportional to 101,565.75, 152,348.67 and 27,693.75

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Solution

The fourth proportional to 101,565.75, 152,348.67 and 27,693.75 is: 41,540.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,565.75 : 152,348.67 = 27,693.75 : x
  2. Step 2: Convert to fraction form
    101,565.75/152,348.67 = 27,693.75/x
  3. Step 3: Cross multiply
    101,565.75x = 152,348.67 × 27,693.75
  4. Step 4: Simplify right side
    101,565.75x = 4,219,105,979.81
  5. Step 5: Solve for x
    x = 4,219,105,979.81/101,565.75
  6. Step 6: Final answer
    x = 41,540.64

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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.