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Finding the Fourth Proportional to 47,704.92, 65,834.62 and 26,196.46

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Solution

The fourth proportional to 47,704.92, 65,834.62 and 26,196.46 is: 36,152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,704.92 : 65,834.62 = 26,196.46 : x
  2. Step 2: Convert to fraction form
    47,704.92/65,834.62 = 26,196.46/x
  3. Step 3: Cross multiply
    47,704.92x = 65,834.62 × 26,196.46
  4. Step 4: Simplify right side
    47,704.92x = 1,724,634,277.04
  5. Step 5: Solve for x
    x = 1,724,634,277.04/47,704.92
  6. Step 6: Final answer
    x = 36,152.12

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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.