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Finding the Fourth Proportional to 70,952.88, 106,454.52 and 31,506.48

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Solution

The fourth proportional to 70,952.88, 106,454.52 and 31,506.48 is: 47,270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,952.88 : 106,454.52 = 31,506.48 : x
  2. Step 2: Convert to fraction form
    70,952.88/106,454.52 = 31,506.48/x
  3. Step 3: Cross multiply
    70,952.88x = 106,454.52 × 31,506.48
  4. Step 4: Simplify right side
    70,952.88x = 3,354,007,205.29
  5. Step 5: Solve for x
    x = 3,354,007,205.29/70,952.88
  6. Step 6: Final answer
    x = 47,270.91

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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.