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Finding the Fourth Proportional to 47,878.49, 71,822.64 and 18,321.18

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Solution

The fourth proportional to 47,878.49, 71,822.64 and 18,321.18 is: 27,483.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,878.49 : 71,822.64 = 18,321.18 : x
  2. Step 2: Convert to fraction form
    47,878.49/71,822.64 = 18,321.18/x
  3. Step 3: Cross multiply
    47,878.49x = 71,822.64 × 18,321.18
  4. Step 4: Simplify right side
    47,878.49x = 1,315,875,515.52
  5. Step 5: Solve for x
    x = 1,315,875,515.52/47,878.49
  6. Step 6: Final answer
    x = 27,483.65

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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.