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Finding the Fourth Proportional to 92,605.12, 138,932.16 and 53,176

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Solution

The fourth proportional to 92,605.12, 138,932.16 and 53,176 is: 79,778.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,605.12 : 138,932.16 = 53,176 : x
  2. Step 2: Convert to fraction form
    92,605.12/138,932.16 = 53,176/x
  3. Step 3: Cross multiply
    92,605.12x = 138,932.16 × 53,176
  4. Step 4: Simplify right side
    92,605.12x = 7,387,856,540.16
  5. Step 5: Solve for x
    x = 7,387,856,540.16/92,605.12
  6. Step 6: Final answer
    x = 79,778.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.