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Finding the Fourth Proportional to 90,098.12, 124,338 and 49,814.48

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Solution

The fourth proportional to 90,098.12, 124,338 and 49,814.48 is: 68,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,098.12 : 124,338 = 49,814.48 : x
  2. Step 2: Convert to fraction form
    90,098.12/124,338 = 49,814.48/x
  3. Step 3: Cross multiply
    90,098.12x = 124,338 × 49,814.48
  4. Step 4: Simplify right side
    90,098.12x = 6,193,833,125.09
  5. Step 5: Solve for x
    x = 6,193,833,125.09/90,098.12
  6. Step 6: Final answer
    x = 68,745.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.