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Finding the Fourth Proportional to 31,889.03, 47,809.85 and 22,000.14

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Solution

The fourth proportional to 31,889.03, 47,809.85 and 22,000.14 is: 32,983.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,889.03 : 47,809.85 = 22,000.14 : x
  2. Step 2: Convert to fraction form
    31,889.03/47,809.85 = 22,000.14/x
  3. Step 3: Cross multiply
    31,889.03x = 47,809.85 × 22,000.14
  4. Step 4: Simplify right side
    31,889.03x = 1,051,823,283.38
  5. Step 5: Solve for x
    x = 1,051,823,283.38/31,889.03
  6. Step 6: Final answer
    x = 32,983.86

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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.