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Finding the Fourth Proportional to 51,581.99, 71,146.28 and 47,346.50

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Solution

The fourth proportional to 51,581.99, 71,146.28 and 47,346.50 is: 65,304.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,581.99 : 71,146.28 = 47,346.50 : x
  2. Step 2: Convert to fraction form
    51,581.99/71,146.28 = 47,346.50/x
  3. Step 3: Cross multiply
    51,581.99x = 71,146.28 × 47,346.50
  4. Step 4: Simplify right side
    51,581.99x = 3,368,527,109.29
  5. Step 5: Solve for x
    x = 3,368,527,109.29/51,581.99
  6. Step 6: Final answer
    x = 65,304.33

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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.