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Finding the Fourth Proportional to 32,006.70, 48,010.05 and 21,984.30

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Solution

The fourth proportional to 32,006.70, 48,010.05 and 21,984.30 is: 32,976.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,006.70 : 48,010.05 = 21,984.30 : x
  2. Step 2: Convert to fraction form
    32,006.70/48,010.05 = 21,984.30/x
  3. Step 3: Cross multiply
    32,006.70x = 48,010.05 × 21,984.30
  4. Step 4: Simplify right side
    32,006.70x = 1,055,467,342.22
  5. Step 5: Solve for x
    x = 1,055,467,342.22/32,006.70
  6. Step 6: Final answer
    x = 32,976.45

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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.