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Finding the Fourth Proportional to 52,393.44, 72,301.68 and 30,036

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Solution

The fourth proportional to 52,393.44, 72,301.68 and 30,036 is: 41,448.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,393.44 : 72,301.68 = 30,036 : x
  2. Step 2: Convert to fraction form
    52,393.44/72,301.68 = 30,036/x
  3. Step 3: Cross multiply
    52,393.44x = 72,301.68 × 30,036
  4. Step 4: Simplify right side
    52,393.44x = 2,171,653,260.48
  5. Step 5: Solve for x
    x = 2,171,653,260.48/52,393.44
  6. Step 6: Final answer
    x = 41,448.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.