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Finding the Fourth Proportional to 48,553.75, 72,830.63 and 13,493.71

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Solution

The fourth proportional to 48,553.75, 72,830.63 and 13,493.71 is: 20,240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,553.75 : 72,830.63 = 13,493.71 : x
  2. Step 2: Convert to fraction form
    48,553.75/72,830.63 = 13,493.71/x
  3. Step 3: Cross multiply
    48,553.75x = 72,830.63 × 13,493.71
  4. Step 4: Simplify right side
    48,553.75x = 982,755,400.34
  5. Step 5: Solve for x
    x = 982,755,400.34/48,553.75
  6. Step 6: Final answer
    x = 20,240.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.