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Finding the Fourth Proportional to 109,402.50, 164,103.72 and 34,530.15

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Solution

The fourth proportional to 109,402.50, 164,103.72 and 34,530.15 is: 51,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,402.50 : 164,103.72 = 34,530.15 : x
  2. Step 2: Convert to fraction form
    109,402.50/164,103.72 = 34,530.15/x
  3. Step 3: Cross multiply
    109,402.50x = 164,103.72 × 34,530.15
  4. Step 4: Simplify right side
    109,402.50x = 5,666,526,067.16
  5. Step 5: Solve for x
    x = 5,666,526,067.16/109,402.50
  6. Step 6: Final answer
    x = 51,795.22

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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.