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Finding the Fourth Proportional to 47,192.72, 65,122.04 and 27,808.61

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Solution

The fourth proportional to 47,192.72, 65,122.04 and 27,808.61 is: 38,373.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,192.72 : 65,122.04 = 27,808.61 : x
  2. Step 2: Convert to fraction form
    47,192.72/65,122.04 = 27,808.61/x
  3. Step 3: Cross multiply
    47,192.72x = 65,122.04 × 27,808.61
  4. Step 4: Simplify right side
    47,192.72x = 1,810,952,948.11
  5. Step 5: Solve for x
    x = 1,810,952,948.11/47,192.72
  6. Step 6: Final answer
    x = 38,373.57

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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.