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Finding the Fourth Proportional to 48,831.76, 67,385.16 and 27,615.28

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Solution

The fourth proportional to 48,831.76, 67,385.16 and 27,615.28 is: 38,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,831.76 : 67,385.16 = 27,615.28 : x
  2. Step 2: Convert to fraction form
    48,831.76/67,385.16 = 27,615.28/x
  3. Step 3: Cross multiply
    48,831.76x = 67,385.16 × 27,615.28
  4. Step 4: Simplify right side
    48,831.76x = 1,860,860,061.24
  5. Step 5: Solve for x
    x = 1,860,860,061.24/48,831.76
  6. Step 6: Final answer
    x = 38,107.58

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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.