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Finding the Fourth Proportional to 100,592.94, 150,873.21 and 34,031.82

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Solution

The fourth proportional to 100,592.94, 150,873.21 and 34,031.82 is: 51,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,592.94 : 150,873.21 = 34,031.82 : x
  2. Step 2: Convert to fraction form
    100,592.94/150,873.21 = 34,031.82/x
  3. Step 3: Cross multiply
    100,592.94x = 150,873.21 × 34,031.82
  4. Step 4: Simplify right side
    100,592.94x = 5,134,489,925.54
  5. Step 5: Solve for x
    x = 5,134,489,925.54/100,592.94
  6. Step 6: Final answer
    x = 51,042.25

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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.