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Finding the Fourth Proportional to 43,906.92, 65,875.14 and 13,926.06

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Solution

The fourth proportional to 43,906.92, 65,875.14 and 13,926.06 is: 20,893.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,906.92 : 65,875.14 = 13,926.06 : x
  2. Step 2: Convert to fraction form
    43,906.92/65,875.14 = 13,926.06/x
  3. Step 3: Cross multiply
    43,906.92x = 65,875.14 × 13,926.06
  4. Step 4: Simplify right side
    43,906.92x = 917,381,152.15
  5. Step 5: Solve for x
    x = 917,381,152.15/43,906.92
  6. Step 6: Final answer
    x = 20,893.77

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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.