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Finding the Fourth Proportional to 109,386.69, 164,081.37 and 30,496.14

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Solution

The fourth proportional to 109,386.69, 164,081.37 and 30,496.14 is: 45,744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,386.69 : 164,081.37 = 30,496.14 : x
  2. Step 2: Convert to fraction form
    109,386.69/164,081.37 = 30,496.14/x
  3. Step 3: Cross multiply
    109,386.69x = 164,081.37 × 30,496.14
  4. Step 4: Simplify right side
    109,386.69x = 5,003,848,430.91
  5. Step 5: Solve for x
    x = 5,003,848,430.91/109,386.69
  6. Step 6: Final answer
    x = 45,744.58

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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.