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Finding the Fourth Proportional to 31,751.92, 47,624.52 and 13,033.93

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Solution

The fourth proportional to 31,751.92, 47,624.52 and 13,033.93 is: 19,549.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,751.92 : 47,624.52 = 13,033.93 : x
  2. Step 2: Convert to fraction form
    31,751.92/47,624.52 = 13,033.93/x
  3. Step 3: Cross multiply
    31,751.92x = 47,624.52 × 13,033.93
  4. Step 4: Simplify right side
    31,751.92x = 620,734,659.96
  5. Step 5: Solve for x
    x = 620,734,659.96/31,751.92
  6. Step 6: Final answer
    x = 19,549.52

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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.