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Finding the Fourth Proportional to 32,213.49, 48,323.54 and 11,153.50

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Solution

The fourth proportional to 32,213.49, 48,323.54 and 11,153.50 is: 16,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,213.49 : 48,323.54 = 11,153.50 : x
  2. Step 2: Convert to fraction form
    32,213.49/48,323.54 = 11,153.50/x
  3. Step 3: Cross multiply
    32,213.49x = 48,323.54 × 11,153.50
  4. Step 4: Simplify right side
    32,213.49x = 538,976,603.39
  5. Step 5: Solve for x
    x = 538,976,603.39/32,213.49
  6. Step 6: Final answer
    x = 16,731.39

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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.