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Finding the Fourth Proportional to 22,121.10, 31,047.30 and 22,121.10

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Solution

The fourth proportional to 22,121.10, 31,047.30 and 22,121.10 is: 31,047.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,121.10 : 31,047.30 = 22,121.10 : x
  2. Step 2: Convert to fraction form
    22,121.10/31,047.30 = 22,121.10/x
  3. Step 3: Cross multiply
    22,121.10x = 31,047.30 × 22,121.10
  4. Step 4: Simplify right side
    22,121.10x = 686,800,428.03
  5. Step 5: Solve for x
    x = 686,800,428.03/22,121.10
  6. Step 6: Final answer
    x = 31,047.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.