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Finding the Fourth Proportional to 48,277.62, 72,414 and 13,217.58

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Solution

The fourth proportional to 48,277.62, 72,414 and 13,217.58 is: 19,825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,277.62 : 72,414 = 13,217.58 : x
  2. Step 2: Convert to fraction form
    48,277.62/72,414 = 13,217.58/x
  3. Step 3: Cross multiply
    48,277.62x = 72,414 × 13,217.58
  4. Step 4: Simplify right side
    48,277.62x = 957,137,838.12
  5. Step 5: Solve for x
    x = 957,137,838.12/48,277.62
  6. Step 6: Final answer
    x = 19,825.70

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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.