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Finding the Fourth Proportional to 47,840, 66,023.04 and 27,971.84

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Solution

The fourth proportional to 47,840, 66,023.04 and 27,971.84 is: 38,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,840 : 66,023.04 = 27,971.84 : x
  2. Step 2: Convert to fraction form
    47,840/66,023.04 = 27,971.84/x
  3. Step 3: Cross multiply
    47,840x = 66,023.04 × 27,971.84
  4. Step 4: Simplify right side
    47,840x = 1,846,785,911.19
  5. Step 5: Solve for x
    x = 1,846,785,911.19/47,840
  6. Step 6: Final answer
    x = 38,603.38

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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.