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Finding the Fourth Proportional to 51,182.34, 70,632.44 and 28,213.17

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Solution

The fourth proportional to 51,182.34, 70,632.44 and 28,213.17 is: 38,934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,182.34 : 70,632.44 = 28,213.17 : x
  2. Step 2: Convert to fraction form
    51,182.34/70,632.44 = 28,213.17/x
  3. Step 3: Cross multiply
    51,182.34x = 70,632.44 × 28,213.17
  4. Step 4: Simplify right side
    51,182.34x = 1,992,765,037.23
  5. Step 5: Solve for x
    x = 1,992,765,037.23/51,182.34
  6. Step 6: Final answer
    x = 38,934.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.