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Finding the Fourth Proportional to 74,967.84, 103,455.54 and 41,433.84

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Solution

The fourth proportional to 74,967.84, 103,455.54 and 41,433.84 is: 57,178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,967.84 : 103,455.54 = 41,433.84 : x
  2. Step 2: Convert to fraction form
    74,967.84/103,455.54 = 41,433.84/x
  3. Step 3: Cross multiply
    74,967.84x = 103,455.54 × 41,433.84
  4. Step 4: Simplify right side
    74,967.84x = 4,286,560,291.47
  5. Step 5: Solve for x
    x = 4,286,560,291.47/74,967.84
  6. Step 6: Final answer
    x = 57,178.66

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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.