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Finding the Fourth Proportional to 47,980.76, 66,216.69 and 27,837.65

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Solution

The fourth proportional to 47,980.76, 66,216.69 and 27,837.65 is: 38,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,980.76 : 66,216.69 = 27,837.65 : x
  2. Step 2: Convert to fraction form
    47,980.76/66,216.69 = 27,837.65/x
  3. Step 3: Cross multiply
    47,980.76x = 66,216.69 × 27,837.65
  4. Step 4: Simplify right side
    47,980.76x = 1,843,317,040.38
  5. Step 5: Solve for x
    x = 1,843,317,040.38/47,980.76
  6. Step 6: Final answer
    x = 38,417.84

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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.