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Finding the Fourth Proportional to 48,033.68, 66,321.60 and 31,048

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Solution

The fourth proportional to 48,033.68, 66,321.60 and 31,048 is: 42,868.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,033.68 : 66,321.60 = 31,048 : x
  2. Step 2: Convert to fraction form
    48,033.68/66,321.60 = 31,048/x
  3. Step 3: Cross multiply
    48,033.68x = 66,321.60 × 31,048
  4. Step 4: Simplify right side
    48,033.68x = 2,059,153,036.80
  5. Step 5: Solve for x
    x = 2,059,153,036.80/48,033.68
  6. Step 6: Final answer
    x = 42,868.94

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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.