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Finding the Fourth Proportional to 32,192.84, 48,283.36 and 13,467.89

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Solution

The fourth proportional to 32,192.84, 48,283.36 and 13,467.89 is: 20,199.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,192.84 : 48,283.36 = 13,467.89 : x
  2. Step 2: Convert to fraction form
    32,192.84/48,283.36 = 13,467.89/x
  3. Step 3: Cross multiply
    32,192.84x = 48,283.36 × 13,467.89
  4. Step 4: Simplify right side
    32,192.84x = 650,274,981.31
  5. Step 5: Solve for x
    x = 650,274,981.31/32,192.84
  6. Step 6: Final answer
    x = 20,199.37

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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.