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Finding the Fourth Proportional to 48,015.20, 72,022.80 and 30,497.60

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Solution

The fourth proportional to 48,015.20, 72,022.80 and 30,497.60 is: 45,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,015.20 : 72,022.80 = 30,497.60 : x
  2. Step 2: Convert to fraction form
    48,015.20/72,022.80 = 30,497.60/x
  3. Step 3: Cross multiply
    48,015.20x = 72,022.80 × 30,497.60
  4. Step 4: Simplify right side
    48,015.20x = 2,196,522,545.28
  5. Step 5: Solve for x
    x = 2,196,522,545.28/48,015.20
  6. Step 6: Final answer
    x = 45,746.40

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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.