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Finding the Fourth Proportional to 74,576.90, 102,916.13 and 41,042.90

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Solution

The fourth proportional to 74,576.90, 102,916.13 and 41,042.90 is: 56,639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,576.90 : 102,916.13 = 41,042.90 : x
  2. Step 2: Convert to fraction form
    74,576.90/102,916.13 = 41,042.90/x
  3. Step 3: Cross multiply
    74,576.90x = 102,916.13 × 41,042.90
  4. Step 4: Simplify right side
    74,576.90x = 4,223,976,431.98
  5. Step 5: Solve for x
    x = 4,223,976,431.98/74,576.90
  6. Step 6: Final answer
    x = 56,639.21

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Why These Related Problems?

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