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Finding the Fourth Proportional to 111,287.29, 166,929.44 and 27,047.21

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Solution

The fourth proportional to 111,287.29, 166,929.44 and 27,047.21 is: 40,570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,287.29 : 166,929.44 = 27,047.21 : x
  2. Step 2: Convert to fraction form
    111,287.29/166,929.44 = 27,047.21/x
  3. Step 3: Cross multiply
    111,287.29x = 166,929.44 × 27,047.21
  4. Step 4: Simplify right side
    111,287.29x = 4,514,975,565.67
  5. Step 5: Solve for x
    x = 4,514,975,565.67/111,287.29
  6. Step 6: Final answer
    x = 40,570.45

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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.