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Finding the Fourth Proportional to 34,657.24, 47,826.82 and 18,741.65

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Solution

The fourth proportional to 34,657.24, 47,826.82 and 18,741.65 is: 25,863.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,657.24 : 47,826.82 = 18,741.65 : x
  2. Step 2: Convert to fraction form
    34,657.24/47,826.82 = 18,741.65/x
  3. Step 3: Cross multiply
    34,657.24x = 47,826.82 × 18,741.65
  4. Step 4: Simplify right side
    34,657.24x = 896,353,427.34
  5. Step 5: Solve for x
    x = 896,353,427.34/34,657.24
  6. Step 6: Final answer
    x = 25,863.38

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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.