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Finding the Fourth Proportional to 37,178.76, 55,756.62 and 12,549

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Solution

The fourth proportional to 37,178.76, 55,756.62 and 12,549 is: 18,819.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,178.76 : 55,756.62 = 12,549 : x
  2. Step 2: Convert to fraction form
    37,178.76/55,756.62 = 12,549/x
  3. Step 3: Cross multiply
    37,178.76x = 55,756.62 × 12,549
  4. Step 4: Simplify right side
    37,178.76x = 699,689,824.38
  5. Step 5: Solve for x
    x = 699,689,824.38/37,178.76
  6. Step 6: Final answer
    x = 18,819.61

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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.