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Finding the Fourth Proportional to 32,491.82, 48,727.80 and 13,771.50

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Solution

The fourth proportional to 32,491.82, 48,727.80 and 13,771.50 is: 20,653.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,491.82 : 48,727.80 = 13,771.50 : x
  2. Step 2: Convert to fraction form
    32,491.82/48,727.80 = 13,771.50/x
  3. Step 3: Cross multiply
    32,491.82x = 48,727.80 × 13,771.50
  4. Step 4: Simplify right side
    32,491.82x = 671,054,897.70
  5. Step 5: Solve for x
    x = 671,054,897.70/32,491.82
  6. Step 6: Final answer
    x = 20,653.04

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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.