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Finding the Fourth Proportional to 101,624.96, 152,431.68 and 31,502.08

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Solution

The fourth proportional to 101,624.96, 152,431.68 and 31,502.08 is: 47,251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,624.96 : 152,431.68 = 31,502.08 : x
  2. Step 2: Convert to fraction form
    101,624.96/152,431.68 = 31,502.08/x
  3. Step 3: Cross multiply
    101,624.96x = 152,431.68 × 31,502.08
  4. Step 4: Simplify right side
    101,624.96x = 4,801,914,977.89
  5. Step 5: Solve for x
    x = 4,801,914,977.89/101,624.96
  6. Step 6: Final answer
    x = 47,251.33

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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.