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Finding the Fourth Proportional to 109,403.45, 164,105.12 and 34,531.10

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Solution

The fourth proportional to 109,403.45, 164,105.12 and 34,531.10 is: 51,796.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,403.45 : 164,105.12 = 34,531.10 : x
  2. Step 2: Convert to fraction form
    109,403.45/164,105.12 = 34,531.10/x
  3. Step 3: Cross multiply
    109,403.45x = 164,105.12 × 34,531.10
  4. Step 4: Simplify right side
    109,403.45x = 5,666,730,805.82
  5. Step 5: Solve for x
    x = 5,666,730,805.82/109,403.45
  6. Step 6: Final answer
    x = 51,796.64

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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.