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Finding the Fourth Proportional to 30,690.86, 42,357.42 and 22,755.69

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Solution

The fourth proportional to 30,690.86, 42,357.42 and 22,755.69 is: 31,405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,690.86 : 42,357.42 = 22,755.69 : x
  2. Step 2: Convert to fraction form
    30,690.86/42,357.42 = 22,755.69/x
  3. Step 3: Cross multiply
    30,690.86x = 42,357.42 × 22,755.69
  4. Step 4: Simplify right side
    30,690.86x = 963,872,318.72
  5. Step 5: Solve for x
    x = 963,872,318.72/30,690.86
  6. Step 6: Final answer
    x = 31,405.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.