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Finding the Fourth Proportional to 40,690, 56,147.47 and 23,697.96

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Solution

The fourth proportional to 40,690, 56,147.47 and 23,697.96 is: 32,700.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,690 : 56,147.47 = 23,697.96 : x
  2. Step 2: Convert to fraction form
    40,690/56,147.47 = 23,697.96/x
  3. Step 3: Cross multiply
    40,690x = 56,147.47 × 23,697.96
  4. Step 4: Simplify right side
    40,690x = 1,330,580,498.16
  5. Step 5: Solve for x
    x = 1,330,580,498.16/40,690
  6. Step 6: Final answer
    x = 32,700.43

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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.