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Finding the Fourth Proportional to 35,324.56, 52,977.84 and 10,357.84

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Solution

The fourth proportional to 35,324.56, 52,977.84 and 10,357.84 is: 15,534.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,324.56 : 52,977.84 = 10,357.84 : x
  2. Step 2: Convert to fraction form
    35,324.56/52,977.84 = 10,357.84/x
  3. Step 3: Cross multiply
    35,324.56x = 52,977.84 × 10,357.84
  4. Step 4: Simplify right side
    35,324.56x = 548,735,990.27
  5. Step 5: Solve for x
    x = 548,735,990.27/35,324.56
  6. Step 6: Final answer
    x = 15,534.12

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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.