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Finding the Fourth Proportional to 64,165, 96,245.88 and 17,416.66

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Solution

The fourth proportional to 64,165, 96,245.88 and 17,416.66 is: 26,124.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,165 : 96,245.88 = 17,416.66 : x
  2. Step 2: Convert to fraction form
    64,165/96,245.88 = 17,416.66/x
  3. Step 3: Cross multiply
    64,165x = 96,245.88 × 17,416.66
  4. Step 4: Simplify right side
    64,165x = 1,676,281,768.36
  5. Step 5: Solve for x
    x = 1,676,281,768.36/64,165
  6. Step 6: Final answer
    x = 26,124.55

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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.