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Finding the Fourth Proportional to 48,201.75, 72,303.57 and 13,142.32

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Solution

The fourth proportional to 48,201.75, 72,303.57 and 13,142.32 is: 19,713.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,201.75 : 72,303.57 = 13,142.32 : x
  2. Step 2: Convert to fraction form
    48,201.75/72,303.57 = 13,142.32/x
  3. Step 3: Cross multiply
    48,201.75x = 72,303.57 × 13,142.32
  4. Step 4: Simplify right side
    48,201.75x = 950,236,473.32
  5. Step 5: Solve for x
    x = 950,236,473.32/48,201.75
  6. Step 6: Final answer
    x = 19,713.73

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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.