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Finding the Fourth Proportional to 70,964.88, 106,472.52 and 31,518.48

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Solution

The fourth proportional to 70,964.88, 106,472.52 and 31,518.48 is: 47,288.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,964.88 : 106,472.52 = 31,518.48 : x
  2. Step 2: Convert to fraction form
    70,964.88/106,472.52 = 31,518.48/x
  3. Step 3: Cross multiply
    70,964.88x = 106,472.52 × 31,518.48
  4. Step 4: Simplify right side
    70,964.88x = 3,355,851,992.17
  5. Step 5: Solve for x
    x = 3,355,851,992.17/70,964.88
  6. Step 6: Final answer
    x = 47,288.91

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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.