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Finding the Fourth Proportional to 75,109.42, 112,722.84 and 33,018.58

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Solution

The fourth proportional to 75,109.42, 112,722.84 and 33,018.58 is: 49,553.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,109.42 : 112,722.84 = 33,018.58 : x
  2. Step 2: Convert to fraction form
    75,109.42/112,722.84 = 33,018.58/x
  3. Step 3: Cross multiply
    75,109.42x = 112,722.84 × 33,018.58
  4. Step 4: Simplify right side
    75,109.42x = 3,721,948,110.37
  5. Step 5: Solve for x
    x = 3,721,948,110.37/75,109.42
  6. Step 6: Final answer
    x = 49,553.68

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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.