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Finding the Fourth Proportional to 47,784.36, 65,943 and 26,565.60

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Solution

The fourth proportional to 47,784.36, 65,943 and 26,565.60 is: 36,660.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,784.36 : 65,943 = 26,565.60 : x
  2. Step 2: Convert to fraction form
    47,784.36/65,943 = 26,565.60/x
  3. Step 3: Cross multiply
    47,784.36x = 65,943 × 26,565.60
  4. Step 4: Simplify right side
    47,784.36x = 1,751,815,360.80
  5. Step 5: Solve for x
    x = 1,751,815,360.80/47,784.36
  6. Step 6: Final answer
    x = 36,660.85

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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.