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Finding the Fourth Proportional to 72,948.94, 109,382.37 and 23,019.73

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Solution

The fourth proportional to 72,948.94, 109,382.37 and 23,019.73 is: 34,516.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,948.94 : 109,382.37 = 23,019.73 : x
  2. Step 2: Convert to fraction form
    72,948.94/109,382.37 = 23,019.73/x
  3. Step 3: Cross multiply
    72,948.94x = 109,382.37 × 23,019.73
  4. Step 4: Simplify right side
    72,948.94x = 2,517,952,509.06
  5. Step 5: Solve for x
    x = 2,517,952,509.06/72,948.94
  6. Step 6: Final answer
    x = 34,516.64

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Why These Related Problems?

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