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Finding the Fourth Proportional to 32,900, 49,350 and 11,012

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Solution

The fourth proportional to 32,900, 49,350 and 11,012 is: 16,518

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,900 : 49,350 = 11,012 : x
  2. Step 2: Convert to fraction form
    32,900/49,350 = 11,012/x
  3. Step 3: Cross multiply
    32,900x = 49,350 × 11,012
  4. Step 4: Simplify right side
    32,900x = 543,442,200
  5. Step 5: Solve for x
    x = 543,442,200/32,900
  6. Step 6: Final answer
    x = 16,518

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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.