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Finding the Fourth Proportional to 74,718, 103,112.46 and 41,184

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Solution

The fourth proportional to 74,718, 103,112.46 and 41,184 is: 56,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,718 : 103,112.46 = 41,184 : x
  2. Step 2: Convert to fraction form
    74,718/103,112.46 = 41,184/x
  3. Step 3: Cross multiply
    74,718x = 103,112.46 × 41,184
  4. Step 4: Simplify right side
    74,718x = 4,246,583,552.64
  5. Step 5: Solve for x
    x = 4,246,583,552.64/74,718
  6. Step 6: Final answer
    x = 56,834.81

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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.