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Finding the Fourth Proportional to 32,118.65, 48,166 and 11,052.80

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Solution

The fourth proportional to 32,118.65, 48,166 and 11,052.80 is: 16,575.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,118.65 : 48,166 = 11,052.80 : x
  2. Step 2: Convert to fraction form
    32,118.65/48,166 = 11,052.80/x
  3. Step 3: Cross multiply
    32,118.65x = 48,166 × 11,052.80
  4. Step 4: Simplify right side
    32,118.65x = 532,369,164.80
  5. Step 5: Solve for x
    x = 532,369,164.80/32,118.65
  6. Step 6: Final answer
    x = 16,575.08

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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.