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Finding the Fourth Proportional to 34,871.70, 52,237.46 and 16,125.46

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Solution

The fourth proportional to 34,871.70, 52,237.46 and 16,125.46 is: 24,155.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,871.70 : 52,237.46 = 16,125.46 : x
  2. Step 2: Convert to fraction form
    34,871.70/52,237.46 = 16,125.46/x
  3. Step 3: Cross multiply
    34,871.70x = 52,237.46 × 16,125.46
  4. Step 4: Simplify right side
    34,871.70x = 842,353,071.73
  5. Step 5: Solve for x
    x = 842,353,071.73/34,871.70
  6. Step 6: Final answer
    x = 24,155.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.