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Finding the Fourth Proportional to 32,770, 49,155 and 10,882

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Solution

The fourth proportional to 32,770, 49,155 and 10,882 is: 16,323

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,770 : 49,155 = 10,882 : x
  2. Step 2: Convert to fraction form
    32,770/49,155 = 10,882/x
  3. Step 3: Cross multiply
    32,770x = 49,155 × 10,882
  4. Step 4: Simplify right side
    32,770x = 534,904,710
  5. Step 5: Solve for x
    x = 534,904,710/32,770
  6. Step 6: Final answer
    x = 16,323

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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.