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Finding the Fourth Proportional to 40,065.16, 55,293.22 and 23,297

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Solution

The fourth proportional to 40,065.16, 55,293.22 and 23,297 is: 32,151.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,065.16 : 55,293.22 = 23,297 : x
  2. Step 2: Convert to fraction form
    40,065.16/55,293.22 = 23,297/x
  3. Step 3: Cross multiply
    40,065.16x = 55,293.22 × 23,297
  4. Step 4: Simplify right side
    40,065.16x = 1,288,166,146.34
  5. Step 5: Solve for x
    x = 1,288,166,146.34/40,065.16
  6. Step 6: Final answer
    x = 32,151.78

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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.