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Finding the Fourth Proportional to 109,515.70, 164,273.55 and 35,643.70

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Solution

The fourth proportional to 109,515.70, 164,273.55 and 35,643.70 is: 53,465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,515.70 : 164,273.55 = 35,643.70 : x
  2. Step 2: Convert to fraction form
    109,515.70/164,273.55 = 35,643.70/x
  3. Step 3: Cross multiply
    109,515.70x = 164,273.55 × 35,643.70
  4. Step 4: Simplify right side
    109,515.70x = 5,855,317,134.14
  5. Step 5: Solve for x
    x = 5,855,317,134.14/109,515.70
  6. Step 6: Final answer
    x = 53,465.55

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1.5x scale

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.