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Finding the Fourth Proportional to 32,205.84, 48,306.40 and 8,830.44

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Solution

The fourth proportional to 32,205.84, 48,306.40 and 8,830.44 is: 13,245.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205.84 : 48,306.40 = 8,830.44 : x
  2. Step 2: Convert to fraction form
    32,205.84/48,306.40 = 8,830.44/x
  3. Step 3: Cross multiply
    32,205.84x = 48,306.40 × 8,830.44
  4. Step 4: Simplify right side
    32,205.84x = 426,566,766.82
  5. Step 5: Solve for x
    x = 426,566,766.82/32,205.84
  6. Step 6: Final answer
    x = 13,245.01

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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.