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Finding the Fourth Proportional to 106,196, 159,294 and 32,324

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Solution

The fourth proportional to 106,196, 159,294 and 32,324 is: 48,486

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,196 : 159,294 = 32,324 : x
  2. Step 2: Convert to fraction form
    106,196/159,294 = 32,324/x
  3. Step 3: Cross multiply
    106,196x = 159,294 × 32,324
  4. Step 4: Simplify right side
    106,196x = 5,149,019,256
  5. Step 5: Solve for x
    x = 5,149,019,256/106,196
  6. Step 6: Final answer
    x = 48,486

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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.