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Finding the Fourth Proportional to 48,033.36, 66,292.71 and 26,814

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Solution

The fourth proportional to 48,033.36, 66,292.71 and 26,814 is: 37,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,033.36 : 66,292.71 = 26,814 : x
  2. Step 2: Convert to fraction form
    48,033.36/66,292.71 = 26,814/x
  3. Step 3: Cross multiply
    48,033.36x = 66,292.71 × 26,814
  4. Step 4: Simplify right side
    48,033.36x = 1,777,572,725.94
  5. Step 5: Solve for x
    x = 1,777,572,725.94/48,033.36
  6. Step 6: Final answer
    x = 37,007.05

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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.