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Finding the Fourth Proportional to 73,149.87, 109,713.60 and 23,223.45

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Solution

The fourth proportional to 73,149.87, 109,713.60 and 23,223.45 is: 34,831.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,149.87 : 109,713.60 = 23,223.45 : x
  2. Step 2: Convert to fraction form
    73,149.87/109,713.60 = 23,223.45/x
  3. Step 3: Cross multiply
    73,149.87x = 109,713.60 × 23,223.45
  4. Step 4: Simplify right side
    73,149.87x = 2,547,928,303.92
  5. Step 5: Solve for x
    x = 2,547,928,303.92/73,149.87
  6. Step 6: Final answer
    x = 34,831.62

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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.