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Finding the Fourth Proportional to 107,722, 161,585.88 and 36,644.50

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Solution

The fourth proportional to 107,722, 161,585.88 and 36,644.50 is: 54,967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,722 : 161,585.88 = 36,644.50 : x
  2. Step 2: Convert to fraction form
    107,722/161,585.88 = 36,644.50/x
  3. Step 3: Cross multiply
    107,722x = 161,585.88 × 36,644.50
  4. Step 4: Simplify right side
    107,722x = 5,921,233,779.66
  5. Step 5: Solve for x
    x = 5,921,233,779.66/107,722
  6. Step 6: Final answer
    x = 54,967.73

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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.