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Finding the Fourth Proportional to 47,067.40, 64,959.80 and 28,206.28

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Solution

The fourth proportional to 47,067.40, 64,959.80 and 28,206.28 is: 38,928.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,067.40 : 64,959.80 = 28,206.28 : x
  2. Step 2: Convert to fraction form
    47,067.40/64,959.80 = 28,206.28/x
  3. Step 3: Cross multiply
    47,067.40x = 64,959.80 × 28,206.28
  4. Step 4: Simplify right side
    47,067.40x = 1,832,274,307.54
  5. Step 5: Solve for x
    x = 1,832,274,307.54/47,067.40
  6. Step 6: Final answer
    x = 38,928.73

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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.