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Finding the Fourth Proportional to 73,233.82, 109,737.70 and 49,448.15

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Solution

The fourth proportional to 73,233.82, 109,737.70 and 49,448.15 is: 74,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,233.82 : 109,737.70 = 49,448.15 : x
  2. Step 2: Convert to fraction form
    73,233.82/109,737.70 = 49,448.15/x
  3. Step 3: Cross multiply
    73,233.82x = 109,737.70 × 49,448.15
  4. Step 4: Simplify right side
    73,233.82x = 5,426,325,750.36
  5. Step 5: Solve for x
    x = 5,426,325,750.36/73,233.82
  6. Step 6: Final answer
    x = 74,095.90

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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.