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Finding the Fourth Proportional to 31,952.14, 47,927.97 and 9,765.43

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Solution

The fourth proportional to 31,952.14, 47,927.97 and 9,765.43 is: 14,648.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,952.14 : 47,927.97 = 9,765.43 : x
  2. Step 2: Convert to fraction form
    31,952.14/47,927.97 = 9,765.43/x
  3. Step 3: Cross multiply
    31,952.14x = 47,927.97 × 9,765.43
  4. Step 4: Simplify right side
    31,952.14x = 468,037,116.26
  5. Step 5: Solve for x
    x = 468,037,116.26/31,952.14
  6. Step 6: Final answer
    x = 14,648.07

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1.5x scale

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.