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Finding the Fourth Proportional to 36,405, 54,607.50 and 11,781

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Solution

The fourth proportional to 36,405, 54,607.50 and 11,781 is: 17,671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,405 : 54,607.50 = 11,781 : x
  2. Step 2: Convert to fraction form
    36,405/54,607.50 = 11,781/x
  3. Step 3: Cross multiply
    36,405x = 54,607.50 × 11,781
  4. Step 4: Simplify right side
    36,405x = 643,330,957.50
  5. Step 5: Solve for x
    x = 643,330,957.50/36,405
  6. Step 6: Final answer
    x = 17,671.50

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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.