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Finding the Fourth Proportional to 35,546.16, 49,046.52 and 22,810.80

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Solution

The fourth proportional to 35,546.16, 49,046.52 and 22,810.80 is: 31,474.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,546.16 : 49,046.52 = 22,810.80 : x
  2. Step 2: Convert to fraction form
    35,546.16/49,046.52 = 22,810.80/x
  3. Step 3: Cross multiply
    35,546.16x = 49,046.52 × 22,810.80
  4. Step 4: Simplify right side
    35,546.16x = 1,118,790,358.42
  5. Step 5: Solve for x
    x = 1,118,790,358.42/35,546.16
  6. Step 6: Final answer
    x = 31,474.30

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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.