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Finding the Fourth Proportional to 47,409.72, 65,419.83 and 26,187.72

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Solution

The fourth proportional to 47,409.72, 65,419.83 and 26,187.72 is: 36,135.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,409.72 : 65,419.83 = 26,187.72 : x
  2. Step 2: Convert to fraction form
    47,409.72/65,419.83 = 26,187.72/x
  3. Step 3: Cross multiply
    47,409.72x = 65,419.83 × 26,187.72
  4. Step 4: Simplify right side
    47,409.72x = 1,713,195,945.16
  5. Step 5: Solve for x
    x = 1,713,195,945.16/47,409.72
  6. Step 6: Final answer
    x = 36,135.97

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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.