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Finding the Fourth Proportional to 32,184.49, 48,283.70 and 13,209.18

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Solution

The fourth proportional to 32,184.49, 48,283.70 and 13,209.18 is: 19,816.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184.49 : 48,283.70 = 13,209.18 : x
  2. Step 2: Convert to fraction form
    32,184.49/48,283.70 = 13,209.18/x
  3. Step 3: Cross multiply
    32,184.49x = 48,283.70 × 13,209.18
  4. Step 4: Simplify right side
    32,184.49x = 637,788,084.37
  5. Step 5: Solve for x
    x = 637,788,084.37/32,184.49
  6. Step 6: Final answer
    x = 19,816.63

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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.