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Finding the Fourth Proportional to 47,890.94, 66,089.48 and 27,759.49

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Solution

The fourth proportional to 47,890.94, 66,089.48 and 27,759.49 is: 38,308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,890.94 : 66,089.48 = 27,759.49 : x
  2. Step 2: Convert to fraction form
    47,890.94/66,089.48 = 27,759.49/x
  3. Step 3: Cross multiply
    47,890.94x = 66,089.48 × 27,759.49
  4. Step 4: Simplify right side
    47,890.94x = 1,834,610,189.77
  5. Step 5: Solve for x
    x = 1,834,610,189.77/47,890.94
  6. Step 6: Final answer
    x = 38,308.08

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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.