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Finding the Fourth Proportional to 101,682, 152,535.76 and 30,593.57

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Solution

The fourth proportional to 101,682, 152,535.76 and 30,593.57 is: 45,894.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,682 : 152,535.76 = 30,593.57 : x
  2. Step 2: Convert to fraction form
    101,682/152,535.76 = 30,593.57/x
  3. Step 3: Cross multiply
    101,682x = 152,535.76 × 30,593.57
  4. Step 4: Simplify right side
    101,682x = 4,666,612,535.42
  5. Step 5: Solve for x
    x = 4,666,612,535.42/101,682
  6. Step 6: Final answer
    x = 45,894.19

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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.