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Finding the Fourth Proportional to 74,576.10, 102,913.95 and 41,042.10

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Solution

The fourth proportional to 74,576.10, 102,913.95 and 41,042.10 is: 56,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,576.10 : 102,913.95 = 41,042.10 : x
  2. Step 2: Convert to fraction form
    74,576.10/102,913.95 = 41,042.10/x
  3. Step 3: Cross multiply
    74,576.10x = 102,913.95 × 41,042.10
  4. Step 4: Simplify right side
    74,576.10x = 4,223,804,627.30
  5. Step 5: Solve for x
    x = 4,223,804,627.30/74,576.10
  6. Step 6: Final answer
    x = 56,637.51

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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.