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Finding the Fourth Proportional to 32,009.88, 47,982 and 12,283.14

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Solution

The fourth proportional to 32,009.88, 47,982 and 12,283.14 is: 18,412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,009.88 : 47,982 = 12,283.14 : x
  2. Step 2: Convert to fraction form
    32,009.88/47,982 = 12,283.14/x
  3. Step 3: Cross multiply
    32,009.88x = 47,982 × 12,283.14
  4. Step 4: Simplify right side
    32,009.88x = 589,369,623.48
  5. Step 5: Solve for x
    x = 589,369,623.48/32,009.88
  6. Step 6: Final answer
    x = 18,412.12

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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.