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Finding the Fourth Proportional to 109,475.67, 164,237.32 and 33,574.25

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Solution

The fourth proportional to 109,475.67, 164,237.32 and 33,574.25 is: 50,368.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,475.67 : 164,237.32 = 33,574.25 : x
  2. Step 2: Convert to fraction form
    109,475.67/164,237.32 = 33,574.25/x
  3. Step 3: Cross multiply
    109,475.67x = 164,237.32 × 33,574.25
  4. Step 4: Simplify right side
    109,475.67x = 5,514,144,369.74
  5. Step 5: Solve for x
    x = 5,514,144,369.74/109,475.67
  6. Step 6: Final answer
    x = 50,368.68

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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.