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Finding the Fourth Proportional to 47,767.95, 65,745.77 and 42,065.35

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Solution

The fourth proportional to 47,767.95, 65,745.77 and 42,065.35 is: 57,896.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,767.95 : 65,745.77 = 42,065.35 : x
  2. Step 2: Convert to fraction form
    47,767.95/65,745.77 = 42,065.35/x
  3. Step 3: Cross multiply
    47,767.95x = 65,745.77 × 42,065.35
  4. Step 4: Simplify right side
    47,767.95x = 2,765,618,451.38
  5. Step 5: Solve for x
    x = 2,765,618,451.38/47,767.95
  6. Step 6: Final answer
    x = 57,896.95

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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.