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Finding the Fourth Proportional to 32,829.91, 49,291.11 and 16,831.08

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Solution

The fourth proportional to 32,829.91, 49,291.11 and 16,831.08 is: 25,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,829.91 : 49,291.11 = 16,831.08 : x
  2. Step 2: Convert to fraction form
    32,829.91/49,291.11 = 16,831.08/x
  3. Step 3: Cross multiply
    32,829.91x = 49,291.11 × 16,831.08
  4. Step 4: Simplify right side
    32,829.91x = 829,622,615.70
  5. Step 5: Solve for x
    x = 829,622,615.70/32,829.91
  6. Step 6: Final answer
    x = 25,270.33

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