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Finding the Fourth Proportional to 74,665.46, 103,038.29 and 41,131.46

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Solution

The fourth proportional to 74,665.46, 103,038.29 and 41,131.46 is: 56,761.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,665.46 : 103,038.29 = 41,131.46 : x
  2. Step 2: Convert to fraction form
    74,665.46/103,038.29 = 41,131.46/x
  3. Step 3: Cross multiply
    74,665.46x = 103,038.29 × 41,131.46
  4. Step 4: Simplify right side
    74,665.46x = 4,238,115,509.78
  5. Step 5: Solve for x
    x = 4,238,115,509.78/74,665.46
  6. Step 6: Final answer
    x = 56,761.39

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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.