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Finding the Fourth Proportional to 43,527, 60,067.64 and 23,655

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Solution

The fourth proportional to 43,527, 60,067.64 and 23,655 is: 32,644.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,527 : 60,067.64 = 23,655 : x
  2. Step 2: Convert to fraction form
    43,527/60,067.64 = 23,655/x
  3. Step 3: Cross multiply
    43,527x = 60,067.64 × 23,655
  4. Step 4: Simplify right side
    43,527x = 1,420,900,024.20
  5. Step 5: Solve for x
    x = 1,420,900,024.20/43,527
  6. Step 6: Final answer
    x = 32,644.11

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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.