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Finding the Fourth Proportional to 52,874.46, 72,970.46 and 30,216.80

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Solution

The fourth proportional to 52,874.46, 72,970.46 and 30,216.80 is: 41,701.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,874.46 : 72,970.46 = 30,216.80 : x
  2. Step 2: Convert to fraction form
    52,874.46/72,970.46 = 30,216.80/x
  3. Step 3: Cross multiply
    52,874.46x = 72,970.46 × 30,216.80
  4. Step 4: Simplify right side
    52,874.46x = 2,204,933,795.73
  5. Step 5: Solve for x
    x = 2,204,933,795.73/52,874.46
  6. Step 6: Final answer
    x = 41,701.30

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1.5x scale

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.