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Finding the Fourth Proportional to 47,115.92, 70,656.60 and 13,827.44

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Solution

The fourth proportional to 47,115.92, 70,656.60 and 13,827.44 is: 20,736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,115.92 : 70,656.60 = 13,827.44 : x
  2. Step 2: Convert to fraction form
    47,115.92/70,656.60 = 13,827.44/x
  3. Step 3: Cross multiply
    47,115.92x = 70,656.60 × 13,827.44
  4. Step 4: Simplify right side
    47,115.92x = 976,999,897.10
  5. Step 5: Solve for x
    x = 976,999,897.10/47,115.92
  6. Step 6: Final answer
    x = 20,736.09

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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.