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Finding the Fourth Proportional to 106,407.24, 159,610.50 and 31,527.96

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Solution

The fourth proportional to 106,407.24, 159,610.50 and 31,527.96 is: 47,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,407.24 : 159,610.50 = 31,527.96 : x
  2. Step 2: Convert to fraction form
    106,407.24/159,610.50 = 31,527.96/x
  3. Step 3: Cross multiply
    106,407.24x = 159,610.50 × 31,527.96
  4. Step 4: Simplify right side
    106,407.24x = 5,032,193,459.58
  5. Step 5: Solve for x
    x = 5,032,193,459.58/106,407.24
  6. Step 6: Final answer
    x = 47,291.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.