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Finding the Fourth Proportional to 47,840.91, 66,019.11 and 27,698.13

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Solution

The fourth proportional to 47,840.91, 66,019.11 and 27,698.13 is: 38,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,840.91 : 66,019.11 = 27,698.13 : x
  2. Step 2: Convert to fraction form
    47,840.91/66,019.11 = 27,698.13/x
  3. Step 3: Cross multiply
    47,840.91x = 66,019.11 × 27,698.13
  4. Step 4: Simplify right side
    47,840.91x = 1,828,605,891.26
  5. Step 5: Solve for x
    x = 1,828,605,891.26/47,840.91
  6. Step 6: Final answer
    x = 38,222.64

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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.