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Finding the Fourth Proportional to 41,224.48, 61,823.22 and 13,516

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Solution

The fourth proportional to 41,224.48, 61,823.22 and 13,516 is: 20,269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,224.48 : 61,823.22 = 13,516 : x
  2. Step 2: Convert to fraction form
    41,224.48/61,823.22 = 13,516/x
  3. Step 3: Cross multiply
    41,224.48x = 61,823.22 × 13,516
  4. Step 4: Simplify right side
    41,224.48x = 835,602,641.52
  5. Step 5: Solve for x
    x = 835,602,641.52/41,224.48
  6. Step 6: Final answer
    x = 20,269.57

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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.