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Finding the Fourth Proportional to 52,370.94, 72,270.24 and 28,497

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Solution

The fourth proportional to 52,370.94, 72,270.24 and 28,497 is: 39,324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,370.94 : 72,270.24 = 28,497 : x
  2. Step 2: Convert to fraction form
    52,370.94/72,270.24 = 28,497/x
  3. Step 3: Cross multiply
    52,370.94x = 72,270.24 × 28,497
  4. Step 4: Simplify right side
    52,370.94x = 2,059,485,029.28
  5. Step 5: Solve for x
    x = 2,059,485,029.28/52,370.94
  6. Step 6: Final answer
    x = 39,324.96

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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.