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Finding the Fourth Proportional to 49,113.78, 73,669.86 and 12,177.78

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Solution

The fourth proportional to 49,113.78, 73,669.86 and 12,177.78 is: 18,266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,113.78 : 73,669.86 = 12,177.78 : x
  2. Step 2: Convert to fraction form
    49,113.78/73,669.86 = 12,177.78/x
  3. Step 3: Cross multiply
    49,113.78x = 73,669.86 × 12,177.78
  4. Step 4: Simplify right side
    49,113.78x = 897,135,347.71
  5. Step 5: Solve for x
    x = 897,135,347.71/49,113.78
  6. Step 6: Final answer
    x = 18,266.47

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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.