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Finding the Fourth Proportional to 109,352.70, 164,035.80 and 34,475.40

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Solution

The fourth proportional to 109,352.70, 164,035.80 and 34,475.40 is: 51,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,352.70 : 164,035.80 = 34,475.40 : x
  2. Step 2: Convert to fraction form
    109,352.70/164,035.80 = 34,475.40/x
  3. Step 3: Cross multiply
    109,352.70x = 164,035.80 × 34,475.40
  4. Step 4: Simplify right side
    109,352.70x = 5,655,199,819.32
  5. Step 5: Solve for x
    x = 5,655,199,819.32/109,352.70
  6. Step 6: Final answer
    x = 51,715.23

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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.