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Finding the Fourth Proportional to 75,642.89, 113,411.80 and 33,500.01

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Solution

The fourth proportional to 75,642.89, 113,411.80 and 33,500.01 is: 50,226.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,642.89 : 113,411.80 = 33,500.01 : x
  2. Step 2: Convert to fraction form
    75,642.89/113,411.80 = 33,500.01/x
  3. Step 3: Cross multiply
    75,642.89x = 113,411.80 × 33,500.01
  4. Step 4: Simplify right side
    75,642.89x = 3,799,296,350.37
  5. Step 5: Solve for x
    x = 3,799,296,350.37/75,642.89
  6. Step 6: Final answer
    x = 50,226.75

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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.