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Finding the Fourth Proportional to 32,306.65, 48,460.88 and 8,933.08

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Solution

The fourth proportional to 32,306.65, 48,460.88 and 8,933.08 is: 13,399.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,306.65 : 48,460.88 = 8,933.08 : x
  2. Step 2: Convert to fraction form
    32,306.65/48,460.88 = 8,933.08/x
  3. Step 3: Cross multiply
    32,306.65x = 48,460.88 × 8,933.08
  4. Step 4: Simplify right side
    32,306.65x = 432,904,917.91
  5. Step 5: Solve for x
    x = 432,904,917.91/32,306.65
  6. Step 6: Final answer
    x = 13,399.87

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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.