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Finding the Fourth Proportional to 101,622.29, 152,441.33 and 30,539.38

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Solution

The fourth proportional to 101,622.29, 152,441.33 and 30,539.38 is: 45,811.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,622.29 : 152,441.33 = 30,539.38 : x
  2. Step 2: Convert to fraction form
    101,622.29/152,441.33 = 30,539.38/x
  3. Step 3: Cross multiply
    101,622.29x = 152,441.33 × 30,539.38
  4. Step 4: Simplify right side
    101,622.29x = 4,655,463,704.58
  5. Step 5: Solve for x
    x = 4,655,463,704.58/101,622.29
  6. Step 6: Final answer
    x = 45,811.44

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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.