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Finding the Fourth Proportional to 31,574.48, 47,319.75 and 16,751.48

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Solution

The fourth proportional to 31,574.48, 47,319.75 and 16,751.48 is: 25,104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,574.48 : 47,319.75 = 16,751.48 : x
  2. Step 2: Convert to fraction form
    31,574.48/47,319.75 = 16,751.48/x
  3. Step 3: Cross multiply
    31,574.48x = 47,319.75 × 16,751.48
  4. Step 4: Simplify right side
    31,574.48x = 792,675,609.13
  5. Step 5: Solve for x
    x = 792,675,609.13/31,574.48
  6. Step 6: Final answer
    x = 25,104.95

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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.