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Finding the Fourth Proportional to 30,641.85, 45,957.30 and 8,152.65

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Solution

The fourth proportional to 30,641.85, 45,957.30 and 8,152.65 is: 12,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,641.85 : 45,957.30 = 8,152.65 : x
  2. Step 2: Convert to fraction form
    30,641.85/45,957.30 = 8,152.65/x
  3. Step 3: Cross multiply
    30,641.85x = 45,957.30 × 8,152.65
  4. Step 4: Simplify right side
    30,641.85x = 374,673,781.85
  5. Step 5: Solve for x
    x = 374,673,781.85/30,641.85
  6. Step 6: Final answer
    x = 12,227.52

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1.5x scale

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.