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Finding the Fourth Proportional to 51,756.68, 71,373.48 and 32,861

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Solution

The fourth proportional to 51,756.68, 71,373.48 and 32,861 is: 45,315.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,756.68 : 71,373.48 = 32,861 : x
  2. Step 2: Convert to fraction form
    51,756.68/71,373.48 = 32,861/x
  3. Step 3: Cross multiply
    51,756.68x = 71,373.48 × 32,861
  4. Step 4: Simplify right side
    51,756.68x = 2,345,403,926.28
  5. Step 5: Solve for x
    x = 2,345,403,926.28/51,756.68
  6. Step 6: Final answer
    x = 45,315.97

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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.