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Finding the Fourth Proportional to 73,783.20, 110,099.34 and 65,831.05

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Solution

The fourth proportional to 73,783.20, 110,099.34 and 65,831.05 is: 98,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,783.20 : 110,099.34 = 65,831.05 : x
  2. Step 2: Convert to fraction form
    73,783.20/110,099.34 = 65,831.05/x
  3. Step 3: Cross multiply
    73,783.20x = 110,099.34 × 65,831.05
  4. Step 4: Simplify right side
    73,783.20x = 7,247,954,881.26
  5. Step 5: Solve for x
    x = 7,247,954,881.26/73,783.20
  6. Step 6: Final answer
    x = 98,233.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.