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Finding the Fourth Proportional to 109,423.10, 164,073.08 and 34,529.28

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Solution

The fourth proportional to 109,423.10, 164,073.08 and 34,529.28 is: 51,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,423.10 : 164,073.08 = 34,529.28 : x
  2. Step 2: Convert to fraction form
    109,423.10/164,073.08 = 34,529.28/x
  3. Step 3: Cross multiply
    109,423.10x = 164,073.08 × 34,529.28
  4. Step 4: Simplify right side
    109,423.10x = 5,665,325,319.78
  5. Step 5: Solve for x
    x = 5,665,325,319.78/109,423.10
  6. Step 6: Final answer
    x = 51,774.49

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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.