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Finding the Fourth Proportional to 34,695.70, 47,880 and 18,780.13

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Solution

The fourth proportional to 34,695.70, 47,880 and 18,780.13 is: 25,916.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,695.70 : 47,880 = 18,780.13 : x
  2. Step 2: Convert to fraction form
    34,695.70/47,880 = 18,780.13/x
  3. Step 3: Cross multiply
    34,695.70x = 47,880 × 18,780.13
  4. Step 4: Simplify right side
    34,695.70x = 899,192,624.40
  5. Step 5: Solve for x
    x = 899,192,624.40/34,695.70
  6. Step 6: Final answer
    x = 25,916.54

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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.