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Finding the Fourth Proportional to 35,843.16, 49,458.14 and 20,527.32

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Solution

The fourth proportional to 35,843.16, 49,458.14 and 20,527.32 is: 28,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,843.16 : 49,458.14 = 20,527.32 : x
  2. Step 2: Convert to fraction form
    35,843.16/49,458.14 = 20,527.32/x
  3. Step 3: Cross multiply
    35,843.16x = 49,458.14 × 20,527.32
  4. Step 4: Simplify right side
    35,843.16x = 1,015,242,963.75
  5. Step 5: Solve for x
    x = 1,015,242,963.75/35,843.16
  6. Step 6: Final answer
    x = 28,324.60

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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.