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Finding the Fourth Proportional to 36,019.10, 49,646.86 and 24,078.08

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Solution

The fourth proportional to 36,019.10, 49,646.86 and 24,078.08 is: 33,187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,019.10 : 49,646.86 = 24,078.08 : x
  2. Step 2: Convert to fraction form
    36,019.10/49,646.86 = 24,078.08/x
  3. Step 3: Cross multiply
    36,019.10x = 49,646.86 × 24,078.08
  4. Step 4: Simplify right side
    36,019.10x = 1,195,400,698.20
  5. Step 5: Solve for x
    x = 1,195,400,698.20/36,019.10
  6. Step 6: Final answer
    x = 33,187.97

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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.