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Finding the Fourth Proportional to 52,422.24, 71,935.80 and 47,670.24

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Solution

The fourth proportional to 52,422.24, 71,935.80 and 47,670.24 is: 65,414.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,422.24 : 71,935.80 = 47,670.24 : x
  2. Step 2: Convert to fraction form
    52,422.24/71,935.80 = 47,670.24/x
  3. Step 3: Cross multiply
    52,422.24x = 71,935.80 × 47,670.24
  4. Step 4: Simplify right side
    52,422.24x = 3,429,196,850.59
  5. Step 5: Solve for x
    x = 3,429,196,850.59/52,422.24
  6. Step 6: Final answer
    x = 65,414.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.