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Finding the Fourth Proportional to 36,164.64, 49,909.08 and 20,248.14

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Solution

The fourth proportional to 36,164.64, 49,909.08 and 20,248.14 is: 27,943.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,164.64 : 49,909.08 = 20,248.14 : x
  2. Step 2: Convert to fraction form
    36,164.64/49,909.08 = 20,248.14/x
  3. Step 3: Cross multiply
    36,164.64x = 49,909.08 × 20,248.14
  4. Step 4: Simplify right side
    36,164.64x = 1,010,566,039.11
  5. Step 5: Solve for x
    x = 1,010,566,039.11/36,164.64
  6. Step 6: Final answer
    x = 27,943.48

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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.