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Finding the Fourth Proportional to 38,309, 57,463.54 and 10,607

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Solution

The fourth proportional to 38,309, 57,463.54 and 10,607 is: 15,910.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,309 : 57,463.54 = 10,607 : x
  2. Step 2: Convert to fraction form
    38,309/57,463.54 = 10,607/x
  3. Step 3: Cross multiply
    38,309x = 57,463.54 × 10,607
  4. Step 4: Simplify right side
    38,309x = 609,515,768.78
  5. Step 5: Solve for x
    x = 609,515,768.78/38,309
  6. Step 6: Final answer
    x = 15,910.51

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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.