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Finding the Fourth Proportional to 47,265.46, 65,221.88 and 27,881.35

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Solution

The fourth proportional to 47,265.46, 65,221.88 and 27,881.35 is: 38,473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,265.46 : 65,221.88 = 27,881.35 : x
  2. Step 2: Convert to fraction form
    47,265.46/65,221.88 = 27,881.35/x
  3. Step 3: Cross multiply
    47,265.46x = 65,221.88 × 27,881.35
  4. Step 4: Simplify right side
    47,265.46x = 1,818,473,761.48
  5. Step 5: Solve for x
    x = 1,818,473,761.48/47,265.46
  6. Step 6: Final answer
    x = 38,473.63

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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.