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Finding the Fourth Proportional to 64,656.96, 96,992.19 and 17,909.84

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Solution

The fourth proportional to 64,656.96, 96,992.19 and 17,909.84 is: 26,866.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,656.96 : 96,992.19 = 17,909.84 : x
  2. Step 2: Convert to fraction form
    64,656.96/96,992.19 = 17,909.84/x
  3. Step 3: Cross multiply
    64,656.96x = 96,992.19 × 17,909.84
  4. Step 4: Simplify right side
    64,656.96x = 1,737,114,119.19
  5. Step 5: Solve for x
    x = 1,737,114,119.19/64,656.96
  6. Step 6: Final answer
    x = 26,866.62

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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.