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Finding the Fourth Proportional to 47,607.80, 65,700.91 and 27,191.64

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Solution

The fourth proportional to 47,607.80, 65,700.91 and 27,191.64 is: 37,525.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,607.80 : 65,700.91 = 27,191.64 : x
  2. Step 2: Convert to fraction form
    47,607.80/65,700.91 = 27,191.64/x
  3. Step 3: Cross multiply
    47,607.80x = 65,700.91 × 27,191.64
  4. Step 4: Simplify right side
    47,607.80x = 1,786,515,424.41
  5. Step 5: Solve for x
    x = 1,786,515,424.41/47,607.80
  6. Step 6: Final answer
    x = 37,525.69

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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.