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Finding the Fourth Proportional to 47,304.78, 70,961.16 and 12,245.10

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Solution

The fourth proportional to 47,304.78, 70,961.16 and 12,245.10 is: 18,368.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,304.78 : 70,961.16 = 12,245.10 : x
  2. Step 2: Convert to fraction form
    47,304.78/70,961.16 = 12,245.10/x
  3. Step 3: Cross multiply
    47,304.78x = 70,961.16 × 12,245.10
  4. Step 4: Simplify right side
    47,304.78x = 868,926,500.32
  5. Step 5: Solve for x
    x = 868,926,500.32/47,304.78
  6. Step 6: Final answer
    x = 18,368.68

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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.