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Finding the Fourth Proportional to 65,096.41, 89,831.86 and 36,802.11

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Solution

The fourth proportional to 65,096.41, 89,831.86 and 36,802.11 is: 50,786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,096.41 : 89,831.86 = 36,802.11 : x
  2. Step 2: Convert to fraction form
    65,096.41/89,831.86 = 36,802.11/x
  3. Step 3: Cross multiply
    65,096.41x = 89,831.86 × 36,802.11
  4. Step 4: Simplify right side
    65,096.41x = 3,306,001,993.22
  5. Step 5: Solve for x
    x = 3,306,001,993.22/65,096.41
  6. Step 6: Final answer
    x = 50,786.24

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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.