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Finding the Fourth Proportional to 47,294.67, 70,906.47 and 22,320.50

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Solution

The fourth proportional to 47,294.67, 70,906.47 and 22,320.50 is: 33,463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,294.67 : 70,906.47 = 22,320.50 : x
  2. Step 2: Convert to fraction form
    47,294.67/70,906.47 = 22,320.50/x
  3. Step 3: Cross multiply
    47,294.67x = 70,906.47 × 22,320.50
  4. Step 4: Simplify right side
    47,294.67x = 1,582,667,863.64
  5. Step 5: Solve for x
    x = 1,582,667,863.64/47,294.67
  6. Step 6: Final answer
    x = 33,463.98

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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.