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Finding the Fourth Proportional to 100,434.98, 150,547.34 and 33,852.09

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Solution

The fourth proportional to 100,434.98, 150,547.34 and 33,852.09 is: 50,742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,434.98 : 150,547.34 = 33,852.09 : x
  2. Step 2: Convert to fraction form
    100,434.98/150,547.34 = 33,852.09/x
  3. Step 3: Cross multiply
    100,434.98x = 150,547.34 × 33,852.09
  4. Step 4: Simplify right side
    100,434.98x = 5,096,341,933.68
  5. Step 5: Solve for x
    x = 5,096,341,933.68/100,434.98
  6. Step 6: Final answer
    x = 50,742.70

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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.