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Finding the Fourth Proportional to 29,941.46, 44,916.29 and 10,214.72

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Solution

The fourth proportional to 29,941.46, 44,916.29 and 10,214.72 is: 15,323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,941.46 : 44,916.29 = 10,214.72 : x
  2. Step 2: Convert to fraction form
    29,941.46/44,916.29 = 10,214.72/x
  3. Step 3: Cross multiply
    29,941.46x = 44,916.29 × 10,214.72
  4. Step 4: Simplify right side
    29,941.46x = 458,807,463.62
  5. Step 5: Solve for x
    x = 458,807,463.62/29,941.46
  6. Step 6: Final answer
    x = 15,323.48

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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.