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Finding the Fourth Proportional to 48,537.90, 72,797.13 and 13,468.14

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Solution

The fourth proportional to 48,537.90, 72,797.13 and 13,468.14 is: 20,199.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,537.90 : 72,797.13 = 13,468.14 : x
  2. Step 2: Convert to fraction form
    48,537.90/72,797.13 = 13,468.14/x
  3. Step 3: Cross multiply
    48,537.90x = 72,797.13 × 13,468.14
  4. Step 4: Simplify right side
    48,537.90x = 980,441,938.44
  5. Step 5: Solve for x
    x = 980,441,938.44/48,537.90
  6. Step 6: Final answer
    x = 20,199.51

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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.