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Finding the Fourth Proportional to 75,485.90, 113,229.12 and 22,895.84

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Solution

The fourth proportional to 75,485.90, 113,229.12 and 22,895.84 is: 34,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,485.90 : 113,229.12 = 22,895.84 : x
  2. Step 2: Convert to fraction form
    75,485.90/113,229.12 = 22,895.84/x
  3. Step 3: Cross multiply
    75,485.90x = 113,229.12 × 22,895.84
  4. Step 4: Simplify right side
    75,485.90x = 2,592,475,814.86
  5. Step 5: Solve for x
    x = 2,592,475,814.86/75,485.90
  6. Step 6: Final answer
    x = 34,343.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.