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Finding the Fourth Proportional to 101,555.32, 152,349.20 and 31,434.44

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Solution

The fourth proportional to 101,555.32, 152,349.20 and 31,434.44 is: 47,156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,555.32 : 152,349.20 = 31,434.44 : x
  2. Step 2: Convert to fraction form
    101,555.32/152,349.20 = 31,434.44/x
  3. Step 3: Cross multiply
    101,555.32x = 152,349.20 × 31,434.44
  4. Step 4: Simplify right side
    101,555.32x = 4,789,011,786.45
  5. Step 5: Solve for x
    x = 4,789,011,786.45/101,555.32
  6. Step 6: Final answer
    x = 47,156.68

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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.