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Finding the Fourth Proportional to 32,604, 48,872.88 and 12,855.44

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Solution

The fourth proportional to 32,604, 48,872.88 and 12,855.44 is: 19,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,604 : 48,872.88 = 12,855.44 : x
  2. Step 2: Convert to fraction form
    32,604/48,872.88 = 12,855.44/x
  3. Step 3: Cross multiply
    32,604x = 48,872.88 × 12,855.44
  4. Step 4: Simplify right side
    32,604x = 628,282,376.47
  5. Step 5: Solve for x
    x = 628,282,376.47/32,604
  6. Step 6: Final answer
    x = 19,270.10

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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.