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Finding the Fourth Proportional to 111,456.51, 167,167.76 and 36,584.16

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Solution

The fourth proportional to 111,456.51, 167,167.76 and 36,584.16 is: 54,870.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,456.51 : 167,167.76 = 36,584.16 : x
  2. Step 2: Convert to fraction form
    111,456.51/167,167.76 = 36,584.16/x
  3. Step 3: Cross multiply
    111,456.51x = 167,167.76 × 36,584.16
  4. Step 4: Simplify right side
    111,456.51x = 6,115,691,895.76
  5. Step 5: Solve for x
    x = 6,115,691,895.76/111,456.51
  6. Step 6: Final answer
    x = 54,870.66

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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.