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Finding the Fourth Proportional to 36,197.48, 49,952.04 and 20,282.24

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Solution

The fourth proportional to 36,197.48, 49,952.04 and 20,282.24 is: 27,989.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,197.48 : 49,952.04 = 20,282.24 : x
  2. Step 2: Convert to fraction form
    36,197.48/49,952.04 = 20,282.24/x
  3. Step 3: Cross multiply
    36,197.48x = 49,952.04 × 20,282.24
  4. Step 4: Simplify right side
    36,197.48x = 1,013,139,263.77
  5. Step 5: Solve for x
    x = 1,013,139,263.77/36,197.48
  6. Step 6: Final answer
    x = 27,989.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.