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Finding the Fourth Proportional to 32,797, 49,200.30 and 10,603

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Solution

The fourth proportional to 32,797, 49,200.30 and 10,603 is: 15,906.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,797 : 49,200.30 = 10,603 : x
  2. Step 2: Convert to fraction form
    32,797/49,200.30 = 10,603/x
  3. Step 3: Cross multiply
    32,797x = 49,200.30 × 10,603
  4. Step 4: Simplify right side
    32,797x = 521,670,780.90
  5. Step 5: Solve for x
    x = 521,670,780.90/32,797
  6. Step 6: Final answer
    x = 15,906.05

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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.