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Finding the Fourth Proportional to 32,796.42, 49,205.07 and 13,831.14

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Solution

The fourth proportional to 32,796.42, 49,205.07 and 13,831.14 is: 20,751.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,796.42 : 49,205.07 = 13,831.14 : x
  2. Step 2: Convert to fraction form
    32,796.42/49,205.07 = 13,831.14/x
  3. Step 3: Cross multiply
    32,796.42x = 49,205.07 × 13,831.14
  4. Step 4: Simplify right side
    32,796.42x = 680,562,211.88
  5. Step 5: Solve for x
    x = 680,562,211.88/32,796.42
  6. Step 6: Final answer
    x = 20,751.11

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Why These Related Problems?

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