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Finding the Fourth Proportional to 109,825, 151,559.04 and 59,524

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Solution

The fourth proportional to 109,825, 151,559.04 and 59,524 is: 82,143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,825 : 151,559.04 = 59,524 : x
  2. Step 2: Convert to fraction form
    109,825/151,559.04 = 59,524/x
  3. Step 3: Cross multiply
    109,825x = 151,559.04 × 59,524
  4. Step 4: Simplify right side
    109,825x = 9,021,400,296.96
  5. Step 5: Solve for x
    x = 9,021,400,296.96/109,825
  6. Step 6: Final answer
    x = 82,143.41

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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.