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Finding the Fourth Proportional to 82,041.78, 123,114.50 and 47,049.78

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Solution

The fourth proportional to 82,041.78, 123,114.50 and 47,049.78 is: 70,604.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,041.78 : 123,114.50 = 47,049.78 : x
  2. Step 2: Convert to fraction form
    82,041.78/123,114.50 = 47,049.78/x
  3. Step 3: Cross multiply
    82,041.78x = 123,114.50 × 47,049.78
  4. Step 4: Simplify right side
    82,041.78x = 5,792,510,139.81
  5. Step 5: Solve for x
    x = 5,792,510,139.81/82,041.78
  6. Step 6: Final answer
    x = 70,604.39

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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.