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Finding the Fourth Proportional to 32,891.50, 49,337.76 and 9,518.02

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Solution

The fourth proportional to 32,891.50, 49,337.76 and 9,518.02 is: 14,277.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,891.50 : 49,337.76 = 9,518.02 : x
  2. Step 2: Convert to fraction form
    32,891.50/49,337.76 = 9,518.02/x
  3. Step 3: Cross multiply
    32,891.50x = 49,337.76 × 9,518.02
  4. Step 4: Simplify right side
    32,891.50x = 469,597,786.44
  5. Step 5: Solve for x
    x = 469,597,786.44/32,891.50
  6. Step 6: Final answer
    x = 14,277.18

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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.