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Finding the Fourth Proportional to 47,196, 70,781.04 and 17,625.60

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Solution

The fourth proportional to 47,196, 70,781.04 and 17,625.60 is: 26,433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,196 : 70,781.04 = 17,625.60 : x
  2. Step 2: Convert to fraction form
    47,196/70,781.04 = 17,625.60/x
  3. Step 3: Cross multiply
    47,196x = 70,781.04 × 17,625.60
  4. Step 4: Simplify right side
    47,196x = 1,247,558,298.62
  5. Step 5: Solve for x
    x = 1,247,558,298.62/47,196
  6. Step 6: Final answer
    x = 26,433.56

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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.