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Finding the Fourth Proportional to 74,416, 102,694.12 and 40,884.16

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Solution

The fourth proportional to 74,416, 102,694.12 and 40,884.16 is: 56,420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,416 : 102,694.12 = 40,884.16 : x
  2. Step 2: Convert to fraction form
    74,416/102,694.12 = 40,884.16/x
  3. Step 3: Cross multiply
    74,416x = 102,694.12 × 40,884.16
  4. Step 4: Simplify right side
    74,416x = 4,198,562,833.14
  5. Step 5: Solve for x
    x = 4,198,562,833.14/74,416
  6. Step 6: Final answer
    x = 56,420.16

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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.