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Finding the Fourth Proportional to 34,079.16, 47,027.84 and 18,971.38

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Solution

The fourth proportional to 34,079.16, 47,027.84 and 18,971.38 is: 26,179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,079.16 : 47,027.84 = 18,971.38 : x
  2. Step 2: Convert to fraction form
    34,079.16/47,027.84 = 18,971.38/x
  3. Step 3: Cross multiply
    34,079.16x = 47,027.84 × 18,971.38
  4. Step 4: Simplify right side
    34,079.16x = 892,182,810.79
  5. Step 5: Solve for x
    x = 892,182,810.79/34,079.16
  6. Step 6: Final answer
    x = 26,179.72

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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.