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Finding the Fourth Proportional to 48,497.12, 72,684 and 21,814.58

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Solution

The fourth proportional to 48,497.12, 72,684 and 21,814.58 is: 32,694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,497.12 : 72,684 = 21,814.58 : x
  2. Step 2: Convert to fraction form
    48,497.12/72,684 = 21,814.58/x
  3. Step 3: Cross multiply
    48,497.12x = 72,684 × 21,814.58
  4. Step 4: Simplify right side
    48,497.12x = 1,585,571,114.43
  5. Step 5: Solve for x
    x = 1,585,571,114.43/48,497.12
  6. Step 6: Final answer
    x = 32,694.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.