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Finding the Fourth Proportional to 45,194.96, 62,349.09 and 31,774.98

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Solution

The fourth proportional to 45,194.96, 62,349.09 and 31,774.98 is: 43,835.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,194.96 : 62,349.09 = 31,774.98 : x
  2. Step 2: Convert to fraction form
    45,194.96/62,349.09 = 31,774.98/x
  3. Step 3: Cross multiply
    45,194.96x = 62,349.09 × 31,774.98
  4. Step 4: Simplify right side
    45,194.96x = 1,981,141,381.16
  5. Step 5: Solve for x
    x = 1,981,141,381.16/45,194.96
  6. Step 6: Final answer
    x = 43,835.45

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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.