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Finding the Fourth Proportional to 47,808.65, 65,980.78 and 27,393.42

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Solution

The fourth proportional to 47,808.65, 65,980.78 and 27,393.42 is: 37,805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,808.65 : 65,980.78 = 27,393.42 : x
  2. Step 2: Convert to fraction form
    47,808.65/65,980.78 = 27,393.42/x
  3. Step 3: Cross multiply
    47,808.65x = 65,980.78 × 27,393.42
  4. Step 4: Simplify right side
    47,808.65x = 1,807,439,533.00
  5. Step 5: Solve for x
    x = 1,807,439,533.00/47,808.65
  6. Step 6: Final answer
    x = 37,805.70

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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.