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Finding the Fourth Proportional to 30,468.15, 45,696.96 and 8,278.61

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Solution

The fourth proportional to 30,468.15, 45,696.96 and 8,278.61 is: 12,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,468.15 : 45,696.96 = 8,278.61 : x
  2. Step 2: Convert to fraction form
    30,468.15/45,696.96 = 8,278.61/x
  3. Step 3: Cross multiply
    30,468.15x = 45,696.96 × 8,278.61
  4. Step 4: Simplify right side
    30,468.15x = 378,307,081.54
  5. Step 5: Solve for x
    x = 378,307,081.54/30,468.15
  6. Step 6: Final answer
    x = 12,416.48

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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.