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Finding the Fourth Proportional to 35,708.48, 49,297.52 and 24,394.88

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Solution

The fourth proportional to 35,708.48, 49,297.52 and 24,394.88 is: 33,678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,708.48 : 49,297.52 = 24,394.88 : x
  2. Step 2: Convert to fraction form
    35,708.48/49,297.52 = 24,394.88/x
  3. Step 3: Cross multiply
    35,708.48x = 49,297.52 × 24,394.88
  4. Step 4: Simplify right side
    35,708.48x = 1,202,607,084.70
  5. Step 5: Solve for x
    x = 1,202,607,084.70/35,708.48
  6. Step 6: Final answer
    x = 33,678.47

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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.