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Finding the Fourth Proportional to 35,830.32, 49,451.24 and 25,792

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Solution

The fourth proportional to 35,830.32, 49,451.24 and 25,792 is: 35,596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,830.32 : 49,451.24 = 25,792 : x
  2. Step 2: Convert to fraction form
    35,830.32/49,451.24 = 25,792/x
  3. Step 3: Cross multiply
    35,830.32x = 49,451.24 × 25,792
  4. Step 4: Simplify right side
    35,830.32x = 1,275,446,382.08
  5. Step 5: Solve for x
    x = 1,275,446,382.08/35,830.32
  6. Step 6: Final answer
    x = 35,596.85

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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.