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Finding the Fourth Proportional to 31,952.92, 47,929.10 and 14,179.29

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Solution

The fourth proportional to 31,952.92, 47,929.10 and 14,179.29 is: 21,268.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,952.92 : 47,929.10 = 14,179.29 : x
  2. Step 2: Convert to fraction form
    31,952.92/47,929.10 = 14,179.29/x
  3. Step 3: Cross multiply
    31,952.92x = 47,929.10 × 14,179.29
  4. Step 4: Simplify right side
    31,952.92x = 679,600,608.34
  5. Step 5: Solve for x
    x = 679,600,608.34/31,952.92
  6. Step 6: Final answer
    x = 21,268.81

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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.