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Finding the Fourth Proportional to 74,916, 103,384.08 and 41,382

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Solution

The fourth proportional to 74,916, 103,384.08 and 41,382 is: 57,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,916 : 103,384.08 = 41,382 : x
  2. Step 2: Convert to fraction form
    74,916/103,384.08 = 41,382/x
  3. Step 3: Cross multiply
    74,916x = 103,384.08 × 41,382
  4. Step 4: Simplify right side
    74,916x = 4,278,239,998.56
  5. Step 5: Solve for x
    x = 4,278,239,998.56/74,916
  6. Step 6: Final answer
    x = 57,107.16

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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.