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Finding the Fourth Proportional to 38,270.70, 52,839.27 and 34,224.93

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Solution

The fourth proportional to 38,270.70, 52,839.27 and 34,224.93 is: 47,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,270.70 : 52,839.27 = 34,224.93 : x
  2. Step 2: Convert to fraction form
    38,270.70/52,839.27 = 34,224.93/x
  3. Step 3: Cross multiply
    38,270.70x = 52,839.27 × 34,224.93
  4. Step 4: Simplify right side
    38,270.70x = 1,808,420,317.00
  5. Step 5: Solve for x
    x = 1,808,420,317.00/38,270.70
  6. Step 6: Final answer
    x = 47,253.39

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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.