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Finding the Fourth Proportional to 47,451.80, 71,182.56 and 16,283

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Solution

The fourth proportional to 47,451.80, 71,182.56 and 16,283 is: 24,426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,451.80 : 71,182.56 = 16,283 : x
  2. Step 2: Convert to fraction form
    47,451.80/71,182.56 = 16,283/x
  3. Step 3: Cross multiply
    47,451.80x = 71,182.56 × 16,283
  4. Step 4: Simplify right side
    47,451.80x = 1,159,065,624.48
  5. Step 5: Solve for x
    x = 1,159,065,624.48/47,451.80
  6. Step 6: Final answer
    x = 24,426.17

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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.