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Finding the Fourth Proportional to 48,202.87, 72,302.18 and 13,142.53

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Solution

The fourth proportional to 48,202.87, 72,302.18 and 13,142.53 is: 19,713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,202.87 : 72,302.18 = 13,142.53 : x
  2. Step 2: Convert to fraction form
    48,202.87/72,302.18 = 13,142.53/x
  3. Step 3: Cross multiply
    48,202.87x = 72,302.18 × 13,142.53
  4. Step 4: Simplify right side
    48,202.87x = 950,233,504.00
  5. Step 5: Solve for x
    x = 950,233,504.00/48,202.87
  6. Step 6: Final answer
    x = 19,713.21

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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.