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Finding the Fourth Proportional to 30,542.66, 45,811.82 and 9,482.19

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Solution

The fourth proportional to 30,542.66, 45,811.82 and 9,482.19 is: 14,222.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542.66 : 45,811.82 = 9,482.19 : x
  2. Step 2: Convert to fraction form
    30,542.66/45,811.82 = 9,482.19/x
  3. Step 3: Cross multiply
    30,542.66x = 45,811.82 × 9,482.19
  4. Step 4: Simplify right side
    30,542.66x = 434,396,334.07
  5. Step 5: Solve for x
    x = 434,396,334.07/30,542.66
  6. Step 6: Final answer
    x = 14,222.61

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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.