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Finding the Fourth Proportional to 38,270.84, 52,810.26 and 22,134.02

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Solution

The fourth proportional to 38,270.84, 52,810.26 and 22,134.02 is: 30,542.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,270.84 : 52,810.26 = 22,134.02 : x
  2. Step 2: Convert to fraction form
    38,270.84/52,810.26 = 22,134.02/x
  3. Step 3: Cross multiply
    38,270.84x = 52,810.26 × 22,134.02
  4. Step 4: Simplify right side
    38,270.84x = 1,168,903,351.05
  5. Step 5: Solve for x
    x = 1,168,903,351.05/38,270.84
  6. Step 6: Final answer
    x = 30,542.92

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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.