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Finding the Fourth Proportional to 109,438.50, 164,179.35 and 34,570.20

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Solution

The fourth proportional to 109,438.50, 164,179.35 and 34,570.20 is: 51,862.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,438.50 : 164,179.35 = 34,570.20 : x
  2. Step 2: Convert to fraction form
    109,438.50/164,179.35 = 34,570.20/x
  3. Step 3: Cross multiply
    109,438.50x = 164,179.35 × 34,570.20
  4. Step 4: Simplify right side
    109,438.50x = 5,675,712,965.37
  5. Step 5: Solve for x
    x = 5,675,712,965.37/109,438.50
  6. Step 6: Final answer
    x = 51,862.12

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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.