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Finding the Fourth Proportional to 47,188.52, 65,116.80 and 28,067.24

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Solution

The fourth proportional to 47,188.52, 65,116.80 and 28,067.24 is: 38,730.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,188.52 : 65,116.80 = 28,067.24 : x
  2. Step 2: Convert to fraction form
    47,188.52/65,116.80 = 28,067.24/x
  3. Step 3: Cross multiply
    47,188.52x = 65,116.80 × 28,067.24
  4. Step 4: Simplify right side
    47,188.52x = 1,827,648,853.63
  5. Step 5: Solve for x
    x = 1,827,648,853.63/47,188.52
  6. Step 6: Final answer
    x = 38,730.79

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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.