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Finding the Fourth Proportional to 42,772.46, 64,124.03 and 17,831.21

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Solution

The fourth proportional to 42,772.46, 64,124.03 and 17,831.21 is: 26,732.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,772.46 : 64,124.03 = 17,831.21 : x
  2. Step 2: Convert to fraction form
    42,772.46/64,124.03 = 17,831.21/x
  3. Step 3: Cross multiply
    42,772.46x = 64,124.03 × 17,831.21
  4. Step 4: Simplify right side
    42,772.46x = 1,143,409,249.86
  5. Step 5: Solve for x
    x = 1,143,409,249.86/42,772.46
  6. Step 6: Final answer
    x = 26,732.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.