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Finding the Fourth Proportional to 74,333.63, 102,581.16 and 40,342.42

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Solution

The fourth proportional to 74,333.63, 102,581.16 and 40,342.42 is: 55,672.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,333.63 : 102,581.16 = 40,342.42 : x
  2. Step 2: Convert to fraction form
    74,333.63/102,581.16 = 40,342.42/x
  3. Step 3: Cross multiply
    74,333.63x = 102,581.16 × 40,342.42
  4. Step 4: Simplify right side
    74,333.63x = 4,138,372,240.81
  5. Step 5: Solve for x
    x = 4,138,372,240.81/74,333.63
  6. Step 6: Final answer
    x = 55,672.95

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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.