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Finding the Fourth Proportional to 34,694.70, 47,878.78 and 18,779.20

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Solution

The fourth proportional to 34,694.70, 47,878.78 and 18,779.20 is: 25,915.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,694.70 : 47,878.78 = 18,779.20 : x
  2. Step 2: Convert to fraction form
    34,694.70/47,878.78 = 18,779.20/x
  3. Step 3: Cross multiply
    34,694.70x = 47,878.78 × 18,779.20
  4. Step 4: Simplify right side
    34,694.70x = 899,125,185.38
  5. Step 5: Solve for x
    x = 899,125,185.38/34,694.70
  6. Step 6: Final answer
    x = 25,915.35

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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.