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Finding the Fourth Proportional to 31,952.77, 47,929.16 and 9,765.96

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Solution

The fourth proportional to 31,952.77, 47,929.16 and 9,765.96 is: 14,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,952.77 : 47,929.16 = 9,765.96 : x
  2. Step 2: Convert to fraction form
    31,952.77/47,929.16 = 9,765.96/x
  3. Step 3: Cross multiply
    31,952.77x = 47,929.16 × 9,765.96
  4. Step 4: Simplify right side
    31,952.77x = 468,074,183.94
  5. Step 5: Solve for x
    x = 468,074,183.94/31,952.77
  6. Step 6: Final answer
    x = 14,648.94

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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.