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Finding the Fourth Proportional to 51,938.68, 71,675.69 and 32,826.92

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Solution

The fourth proportional to 51,938.68, 71,675.69 and 32,826.92 is: 45,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,938.68 : 71,675.69 = 32,826.92 : x
  2. Step 2: Convert to fraction form
    51,938.68/71,675.69 = 32,826.92/x
  3. Step 3: Cross multiply
    51,938.68x = 71,675.69 × 32,826.92
  4. Step 4: Simplify right side
    51,938.68x = 2,352,892,141.57
  5. Step 5: Solve for x
    x = 2,352,892,141.57/51,938.68
  6. Step 6: Final answer
    x = 45,301.35

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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.