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Finding the Fourth Proportional to 35,706, 49,253.76 and 22,270.80

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Solution

The fourth proportional to 35,706, 49,253.76 and 22,270.80 is: 30,720.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,706 : 49,253.76 = 22,270.80 : x
  2. Step 2: Convert to fraction form
    35,706/49,253.76 = 22,270.80/x
  3. Step 3: Cross multiply
    35,706x = 49,253.76 × 22,270.80
  4. Step 4: Simplify right side
    35,706x = 1,096,920,638.21
  5. Step 5: Solve for x
    x = 1,096,920,638.21/35,706
  6. Step 6: Final answer
    x = 30,720.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.