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Finding the Fourth Proportional to 109,833.36, 164,769.47 and 41,443.44

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Solution

The fourth proportional to 109,833.36, 164,769.47 and 41,443.44 is: 62,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,833.36 : 164,769.47 = 41,443.44 : x
  2. Step 2: Convert to fraction form
    109,833.36/164,769.47 = 41,443.44/x
  3. Step 3: Cross multiply
    109,833.36x = 164,769.47 × 41,443.44
  4. Step 4: Simplify right side
    109,833.36x = 6,828,613,643.78
  5. Step 5: Solve for x
    x = 6,828,613,643.78/109,833.36
  6. Step 6: Final answer
    x = 62,172.49

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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.