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Finding the Fourth Proportional to 37,309.76, 55,964.64 and 12,343.12

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Solution

The fourth proportional to 37,309.76, 55,964.64 and 12,343.12 is: 18,514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,309.76 : 55,964.64 = 12,343.12 : x
  2. Step 2: Convert to fraction form
    37,309.76/55,964.64 = 12,343.12/x
  3. Step 3: Cross multiply
    37,309.76x = 55,964.64 × 12,343.12
  4. Step 4: Simplify right side
    37,309.76x = 690,778,267.28
  5. Step 5: Solve for x
    x = 690,778,267.28/37,309.76
  6. Step 6: Final answer
    x = 18,514.68

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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.