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Finding the Fourth Proportional to 101,479.42, 152,201.31 and 31,359.34

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Solution

The fourth proportional to 101,479.42, 152,201.31 and 31,359.34 is: 47,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,479.42 : 152,201.31 = 31,359.34 : x
  2. Step 2: Convert to fraction form
    101,479.42/152,201.31 = 31,359.34/x
  3. Step 3: Cross multiply
    101,479.42x = 152,201.31 × 31,359.34
  4. Step 4: Simplify right side
    101,479.42x = 4,772,932,628.74
  5. Step 5: Solve for x
    x = 4,772,932,628.74/101,479.42
  6. Step 6: Final answer
    x = 47,033.50

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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.