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Finding the Fourth Proportional to 47,094.74, 64,961.90 and 27,961.52

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Solution

The fourth proportional to 47,094.74, 64,961.90 and 27,961.52 is: 38,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,094.74 : 64,961.90 = 27,961.52 : x
  2. Step 2: Convert to fraction form
    47,094.74/64,961.90 = 27,961.52/x
  3. Step 3: Cross multiply
    47,094.74x = 64,961.90 × 27,961.52
  4. Step 4: Simplify right side
    47,094.74x = 1,816,433,466.09
  5. Step 5: Solve for x
    x = 1,816,433,466.09/47,094.74
  6. Step 6: Final answer
    x = 38,569.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.