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Finding the Fourth Proportional to 82,248.70, 123,348.22 and 42,784.28

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Solution

The fourth proportional to 82,248.70, 123,348.22 and 42,784.28 is: 64,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,248.70 : 123,348.22 = 42,784.28 : x
  2. Step 2: Convert to fraction form
    82,248.70/123,348.22 = 42,784.28/x
  3. Step 3: Cross multiply
    82,248.70x = 123,348.22 × 42,784.28
  4. Step 4: Simplify right side
    82,248.70x = 5,277,364,781.98
  5. Step 5: Solve for x
    x = 5,277,364,781.98/82,248.70
  6. Step 6: Final answer
    x = 64,163.50

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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.