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Finding the Fourth Proportional to 33,902.74, 46,769.16 and 29,420.20

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Solution

The fourth proportional to 33,902.74, 46,769.16 and 29,420.20 is: 40,585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,902.74 : 46,769.16 = 29,420.20 : x
  2. Step 2: Convert to fraction form
    33,902.74/46,769.16 = 29,420.20/x
  3. Step 3: Cross multiply
    33,902.74x = 46,769.16 × 29,420.20
  4. Step 4: Simplify right side
    33,902.74x = 1,375,958,041.03
  5. Step 5: Solve for x
    x = 1,375,958,041.03/33,902.74
  6. Step 6: Final answer
    x = 40,585.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.