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Finding the Fourth Proportional to 32,257.65, 48,387.69 and 8,885.91

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Solution

The fourth proportional to 32,257.65, 48,387.69 and 8,885.91 is: 13,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,257.65 : 48,387.69 = 8,885.91 : x
  2. Step 2: Convert to fraction form
    32,257.65/48,387.69 = 8,885.91/x
  3. Step 3: Cross multiply
    32,257.65x = 48,387.69 × 8,885.91
  4. Step 4: Simplify right side
    32,257.65x = 429,968,658.45
  5. Step 5: Solve for x
    x = 429,968,658.45/32,257.65
  6. Step 6: Final answer
    x = 13,329.20

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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.