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Finding the Fourth Proportional to 35,834.32, 49,456.76 and 25,796

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Solution

The fourth proportional to 35,834.32, 49,456.76 and 25,796 is: 35,602.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,834.32 : 49,456.76 = 25,796 : x
  2. Step 2: Convert to fraction form
    35,834.32/49,456.76 = 25,796/x
  3. Step 3: Cross multiply
    35,834.32x = 49,456.76 × 25,796
  4. Step 4: Simplify right side
    35,834.32x = 1,275,786,580.96
  5. Step 5: Solve for x
    x = 1,275,786,580.96/35,834.32
  6. Step 6: Final answer
    x = 35,602.37

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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.