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Finding the Fourth Proportional to 31,901.50, 47,852.66 and 11,125

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Solution

The fourth proportional to 31,901.50, 47,852.66 and 11,125 is: 16,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,901.50 : 47,852.66 = 11,125 : x
  2. Step 2: Convert to fraction form
    31,901.50/47,852.66 = 11,125/x
  3. Step 3: Cross multiply
    31,901.50x = 47,852.66 × 11,125
  4. Step 4: Simplify right side
    31,901.50x = 532,360,842.50
  5. Step 5: Solve for x
    x = 532,360,842.50/31,901.50
  6. Step 6: Final answer
    x = 16,687.64

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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.