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Finding the Fourth Proportional to 73,138.75, 109,711.93 and 23,222.76

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Solution

The fourth proportional to 73,138.75, 109,711.93 and 23,222.76 is: 34,835.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,138.75 : 109,711.93 = 23,222.76 : x
  2. Step 2: Convert to fraction form
    73,138.75/109,711.93 = 23,222.76/x
  3. Step 3: Cross multiply
    73,138.75x = 109,711.93 × 23,222.76
  4. Step 4: Simplify right side
    73,138.75x = 2,547,813,306.51
  5. Step 5: Solve for x
    x = 2,547,813,306.51/73,138.75
  6. Step 6: Final answer
    x = 34,835.34

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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.