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Finding the Fourth Proportional to 32,831.94, 45,613.96 and 32,438.28

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Solution

The fourth proportional to 32,831.94, 45,613.96 and 32,438.28 is: 45,067.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,831.94 : 45,613.96 = 32,438.28 : x
  2. Step 2: Convert to fraction form
    32,831.94/45,613.96 = 32,438.28/x
  3. Step 3: Cross multiply
    32,831.94x = 45,613.96 × 32,438.28
  4. Step 4: Simplify right side
    32,831.94x = 1,479,638,406.39
  5. Step 5: Solve for x
    x = 1,479,638,406.39/32,831.94
  6. Step 6: Final answer
    x = 45,067.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.