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Finding the Fourth Proportional to 82,042.92, 123,017.40 and 48,786.21

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Solution

The fourth proportional to 82,042.92, 123,017.40 and 48,786.21 is: 73,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,042.92 : 123,017.40 = 48,786.21 : x
  2. Step 2: Convert to fraction form
    82,042.92/123,017.40 = 48,786.21/x
  3. Step 3: Cross multiply
    82,042.92x = 123,017.40 × 48,786.21
  4. Step 4: Simplify right side
    82,042.92x = 6,001,552,710.05
  5. Step 5: Solve for x
    x = 6,001,552,710.05/82,042.92
  6. Step 6: Final answer
    x = 73,151.38

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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.