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Finding the Fourth Proportional to 101,559.92, 152,354.44 and 31,444.72

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Solution

The fourth proportional to 101,559.92, 152,354.44 and 31,444.72 is: 47,171.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,559.92 : 152,354.44 = 31,444.72 : x
  2. Step 2: Convert to fraction form
    101,559.92/152,354.44 = 31,444.72/x
  3. Step 3: Cross multiply
    101,559.92x = 152,354.44 × 31,444.72
  4. Step 4: Simplify right side
    101,559.92x = 4,790,742,706.56
  5. Step 5: Solve for x
    x = 4,790,742,706.56/101,559.92
  6. Step 6: Final answer
    x = 47,171.59

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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.