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Finding the Fourth Proportional to 32,451.84, 48,722.56 and 22,431.89

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Solution

The fourth proportional to 32,451.84, 48,722.56 and 22,431.89 is: 33,678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,451.84 : 48,722.56 = 22,431.89 : x
  2. Step 2: Convert to fraction form
    32,451.84/48,722.56 = 22,431.89/x
  3. Step 3: Cross multiply
    32,451.84x = 48,722.56 × 22,431.89
  4. Step 4: Simplify right side
    32,451.84x = 1,092,939,024.28
  5. Step 5: Solve for x
    x = 1,092,939,024.28/32,451.84
  6. Step 6: Final answer
    x = 33,678.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.