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Finding the Fourth Proportional to 47,258.22, 65,202.36 and 28,122.66

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Solution

The fourth proportional to 47,258.22, 65,202.36 and 28,122.66 is: 38,800.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,258.22 : 65,202.36 = 28,122.66 : x
  2. Step 2: Convert to fraction form
    47,258.22/65,202.36 = 28,122.66/x
  3. Step 3: Cross multiply
    47,258.22x = 65,202.36 × 28,122.66
  4. Step 4: Simplify right side
    47,258.22x = 1,833,663,801.48
  5. Step 5: Solve for x
    x = 1,833,663,801.48/47,258.22
  6. Step 6: Final answer
    x = 38,800.95

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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.