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Finding the Fourth Proportional to 51,650.68, 71,302.98 and 34,648.84

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Solution

The fourth proportional to 51,650.68, 71,302.98 and 34,648.84 is: 47,832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,650.68 : 71,302.98 = 34,648.84 : x
  2. Step 2: Convert to fraction form
    51,650.68/71,302.98 = 34,648.84/x
  3. Step 3: Cross multiply
    51,650.68x = 71,302.98 × 34,648.84
  4. Step 4: Simplify right side
    51,650.68x = 2,470,565,545.54
  5. Step 5: Solve for x
    x = 2,470,565,545.54/51,650.68
  6. Step 6: Final answer
    x = 47,832.20

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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.