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Finding the Fourth Proportional to 109,400.64, 164,123.04 and 34,532.40

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Solution

The fourth proportional to 109,400.64, 164,123.04 and 34,532.40 is: 51,805.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,400.64 : 164,123.04 = 34,532.40 : x
  2. Step 2: Convert to fraction form
    109,400.64/164,123.04 = 34,532.40/x
  3. Step 3: Cross multiply
    109,400.64x = 164,123.04 × 34,532.40
  4. Step 4: Simplify right side
    109,400.64x = 5,667,562,466.50
  5. Step 5: Solve for x
    x = 5,667,562,466.50/109,400.64
  6. Step 6: Final answer
    x = 51,805.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.