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Finding the Fourth Proportional to 29,462.25, 44,194.75 and 8,403.74

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Solution

The fourth proportional to 29,462.25, 44,194.75 and 8,403.74 is: 12,605.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,462.25 : 44,194.75 = 8,403.74 : x
  2. Step 2: Convert to fraction form
    29,462.25/44,194.75 = 8,403.74/x
  3. Step 3: Cross multiply
    29,462.25x = 44,194.75 × 8,403.74
  4. Step 4: Simplify right side
    29,462.25x = 371,400,946.38
  5. Step 5: Solve for x
    x = 371,400,946.38/29,462.25
  6. Step 6: Final answer
    x = 12,605.99

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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.