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Finding the Fourth Proportional to 109,400.34, 164,100.54 and 34,526.32

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Solution

The fourth proportional to 109,400.34, 164,100.54 and 34,526.32 is: 51,789.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,400.34 : 164,100.54 = 34,526.32 : x
  2. Step 2: Convert to fraction form
    109,400.34/164,100.54 = 34,526.32/x
  3. Step 3: Cross multiply
    109,400.34x = 164,100.54 × 34,526.32
  4. Step 4: Simplify right side
    109,400.34x = 5,665,787,756.21
  5. Step 5: Solve for x
    x = 5,665,787,756.21/109,400.34
  6. Step 6: Final answer
    x = 51,789.49

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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.