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Finding the Fourth Proportional to 109,614.70, 164,422.05 and 30,742.30

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Solution

The fourth proportional to 109,614.70, 164,422.05 and 30,742.30 is: 46,113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,614.70 : 164,422.05 = 30,742.30 : x
  2. Step 2: Convert to fraction form
    109,614.70/164,422.05 = 30,742.30/x
  3. Step 3: Cross multiply
    109,614.70x = 164,422.05 × 30,742.30
  4. Step 4: Simplify right side
    109,614.70x = 5,054,711,987.72
  5. Step 5: Solve for x
    x = 5,054,711,987.72/109,614.70
  6. Step 6: Final answer
    x = 46,113.45

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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.