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Finding the Fourth Proportional to 35,833.32, 49,455.38 and 25,795

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Solution

The fourth proportional to 35,833.32, 49,455.38 and 25,795 is: 35,600.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,833.32 : 49,455.38 = 25,795 : x
  2. Step 2: Convert to fraction form
    35,833.32/49,455.38 = 25,795/x
  3. Step 3: Cross multiply
    35,833.32x = 49,455.38 × 25,795
  4. Step 4: Simplify right side
    35,833.32x = 1,275,701,527.10
  5. Step 5: Solve for x
    x = 1,275,701,527.10/35,833.32
  6. Step 6: Final answer
    x = 35,600.99

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Why These Related Problems?

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