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Finding the Fourth Proportional to 32,422, 48,633 and 7,798

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Solution

The fourth proportional to 32,422, 48,633 and 7,798 is: 11,697

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,422 : 48,633 = 7,798 : x
  2. Step 2: Convert to fraction form
    32,422/48,633 = 7,798/x
  3. Step 3: Cross multiply
    32,422x = 48,633 × 7,798
  4. Step 4: Simplify right side
    32,422x = 379,240,134
  5. Step 5: Solve for x
    x = 379,240,134/32,422
  6. Step 6: Final answer
    x = 11,697

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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.