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Finding the Fourth Proportional to 40,310, 55,618.92 and 23,314.16

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Solution

The fourth proportional to 40,310, 55,618.92 and 23,314.16 is: 32,168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,310 : 55,618.92 = 23,314.16 : x
  2. Step 2: Convert to fraction form
    40,310/55,618.92 = 23,314.16/x
  3. Step 3: Cross multiply
    40,310x = 55,618.92 × 23,314.16
  4. Step 4: Simplify right side
    40,310x = 1,296,708,399.91
  5. Step 5: Solve for x
    x = 1,296,708,399.91/40,310
  6. Step 6: Final answer
    x = 32,168.40

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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.