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Finding the Fourth Proportional to 101,604.56, 152,351.16 and 31,464.40

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Solution

The fourth proportional to 101,604.56, 152,351.16 and 31,464.40 is: 47,179.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,604.56 : 152,351.16 = 31,464.40 : x
  2. Step 2: Convert to fraction form
    101,604.56/152,351.16 = 31,464.40/x
  3. Step 3: Cross multiply
    101,604.56x = 152,351.16 × 31,464.40
  4. Step 4: Simplify right side
    101,604.56x = 4,793,637,838.70
  5. Step 5: Solve for x
    x = 4,793,637,838.70/101,604.56
  6. Step 6: Final answer
    x = 47,179.36

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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.