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Finding the Fourth Proportional to 47,309.92, 65,288.12 and 26,089.96

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Solution

The fourth proportional to 47,309.92, 65,288.12 and 26,089.96 is: 36,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,309.92 : 65,288.12 = 26,089.96 : x
  2. Step 2: Convert to fraction form
    47,309.92/65,288.12 = 26,089.96/x
  3. Step 3: Cross multiply
    47,309.92x = 65,288.12 × 26,089.96
  4. Step 4: Simplify right side
    47,309.92x = 1,703,364,439.28
  5. Step 5: Solve for x
    x = 1,703,364,439.28/47,309.92
  6. Step 6: Final answer
    x = 36,004.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.