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Finding the Fourth Proportional to 100,574.52, 150,881.22 and 34,025.46

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Solution

The fourth proportional to 100,574.52, 150,881.22 and 34,025.46 is: 51,044.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,574.52 : 150,881.22 = 34,025.46 : x
  2. Step 2: Convert to fraction form
    100,574.52/150,881.22 = 34,025.46/x
  3. Step 3: Cross multiply
    100,574.52x = 150,881.22 × 34,025.46
  4. Step 4: Simplify right side
    100,574.52x = 5,133,802,915.86
  5. Step 5: Solve for x
    x = 5,133,802,915.86/100,574.52
  6. Step 6: Final answer
    x = 51,044.77

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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.