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Finding the Fourth Proportional to 47,920.89, 66,130.89 and 27,789.47

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Solution

The fourth proportional to 47,920.89, 66,130.89 and 27,789.47 is: 38,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,920.89 : 66,130.89 = 27,789.47 : x
  2. Step 2: Convert to fraction form
    47,920.89/66,130.89 = 27,789.47/x
  3. Step 3: Cross multiply
    47,920.89x = 66,130.89 × 27,789.47
  4. Step 4: Simplify right side
    47,920.89x = 1,837,742,383.73
  5. Step 5: Solve for x
    x = 1,837,742,383.73/47,920.89
  6. Step 6: Final answer
    x = 38,349.50

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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.