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Finding the Fourth Proportional to 74,083.84, 102,238.16 and 40,549.84

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Solution

The fourth proportional to 74,083.84, 102,238.16 and 40,549.84 is: 55,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,083.84 : 102,238.16 = 40,549.84 : x
  2. Step 2: Convert to fraction form
    74,083.84/102,238.16 = 40,549.84/x
  3. Step 3: Cross multiply
    74,083.84x = 102,238.16 × 40,549.84
  4. Step 4: Simplify right side
    74,083.84x = 4,145,741,029.89
  5. Step 5: Solve for x
    x = 4,145,741,029.89/74,083.84
  6. Step 6: Final answer
    x = 55,960.13

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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.