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Finding the Fourth Proportional to 47,194.72, 65,124.79 and 27,810.61

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Solution

The fourth proportional to 47,194.72, 65,124.79 and 27,810.61 is: 38,376.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,194.72 : 65,124.79 = 27,810.61 : x
  2. Step 2: Convert to fraction form
    47,194.72/65,124.79 = 27,810.61/x
  3. Step 3: Cross multiply
    47,194.72x = 65,124.79 × 27,810.61
  4. Step 4: Simplify right side
    47,194.72x = 1,811,160,136.02
  5. Step 5: Solve for x
    x = 1,811,160,136.02/47,194.72
  6. Step 6: Final answer
    x = 38,376.33

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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.