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Finding the Fourth Proportional to 31,751.96, 47,649.80 and 10,975.46

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Solution

The fourth proportional to 31,751.96, 47,649.80 and 10,975.46 is: 16,470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,751.96 : 47,649.80 = 10,975.46 : x
  2. Step 2: Convert to fraction form
    31,751.96/47,649.80 = 10,975.46/x
  3. Step 3: Cross multiply
    31,751.96x = 47,649.80 × 10,975.46
  4. Step 4: Simplify right side
    31,751.96x = 522,978,263.10
  5. Step 5: Solve for x
    x = 522,978,263.10/31,751.96
  6. Step 6: Final answer
    x = 16,470.74

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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.