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Finding the Fourth Proportional to 48,831.84, 67,387.57 and 27,611.86

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Solution

The fourth proportional to 48,831.84, 67,387.57 and 27,611.86 is: 38,104.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,831.84 : 67,387.57 = 27,611.86 : x
  2. Step 2: Convert to fraction form
    48,831.84/67,387.57 = 27,611.86/x
  3. Step 3: Cross multiply
    48,831.84x = 67,387.57 × 27,611.86
  4. Step 4: Simplify right side
    48,831.84x = 1,860,696,148.58
  5. Step 5: Solve for x
    x = 1,860,696,148.58/48,831.84
  6. Step 6: Final answer
    x = 38,104.16

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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.