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Finding the Fourth Proportional to 34,100.70, 47,003.67 and 27,803.10

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Solution

The fourth proportional to 34,100.70, 47,003.67 and 27,803.10 is: 38,323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,100.70 : 47,003.67 = 27,803.10 : x
  2. Step 2: Convert to fraction form
    34,100.70/47,003.67 = 27,803.10/x
  3. Step 3: Cross multiply
    34,100.70x = 47,003.67 × 27,803.10
  4. Step 4: Simplify right side
    34,100.70x = 1,306,847,737.38
  5. Step 5: Solve for x
    x = 1,306,847,737.38/34,100.70
  6. Step 6: Final answer
    x = 38,323.19

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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.