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Finding the Fourth Proportional to 48,197.25, 72,295.88 and 13,142.07

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Solution

The fourth proportional to 48,197.25, 72,295.88 and 13,142.07 is: 19,713.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,197.25 : 72,295.88 = 13,142.07 : x
  2. Step 2: Convert to fraction form
    48,197.25/72,295.88 = 13,142.07/x
  3. Step 3: Cross multiply
    48,197.25x = 72,295.88 × 13,142.07
  4. Step 4: Simplify right side
    48,197.25x = 950,117,515.67
  5. Step 5: Solve for x
    x = 950,117,515.67/48,197.25
  6. Step 6: Final answer
    x = 19,713.11

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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.