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Finding the Fourth Proportional to 40,064.16, 55,291.84 and 23,296

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Solution

The fourth proportional to 40,064.16, 55,291.84 and 23,296 is: 32,150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,064.16 : 55,291.84 = 23,296 : x
  2. Step 2: Convert to fraction form
    40,064.16/55,291.84 = 23,296/x
  3. Step 3: Cross multiply
    40,064.16x = 55,291.84 × 23,296
  4. Step 4: Simplify right side
    40,064.16x = 1,288,078,704.64
  5. Step 5: Solve for x
    x = 1,288,078,704.64/40,064.16
  6. Step 6: Final answer
    x = 32,150.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.