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Finding the Fourth Proportional to 109,370.75, 164,056.13 and 35,498.75

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Solution

The fourth proportional to 109,370.75, 164,056.13 and 35,498.75 is: 53,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,370.75 : 164,056.13 = 35,498.75 : x
  2. Step 2: Convert to fraction form
    109,370.75/164,056.13 = 35,498.75/x
  3. Step 3: Cross multiply
    109,370.75x = 164,056.13 × 35,498.75
  4. Step 4: Simplify right side
    109,370.75x = 5,823,787,367.34
  5. Step 5: Solve for x
    x = 5,823,787,367.34/109,370.75
  6. Step 6: Final answer
    x = 53,248.13

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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.