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Finding the Fourth Proportional to 51,606.96, 77,306.76 and 30,819.12

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Solution

The fourth proportional to 51,606.96, 77,306.76 and 30,819.12 is: 46,166.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,606.96 : 77,306.76 = 30,819.12 : x
  2. Step 2: Convert to fraction form
    51,606.96/77,306.76 = 30,819.12/x
  3. Step 3: Cross multiply
    51,606.96x = 77,306.76 × 30,819.12
  4. Step 4: Simplify right side
    51,606.96x = 2,382,526,313.25
  5. Step 5: Solve for x
    x = 2,382,526,313.25/51,606.96
  6. Step 6: Final answer
    x = 46,166.76

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1.5x scale

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.