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Finding the Fourth Proportional to 30,831.96, 42,548.10 and 16,684.80

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Solution

The fourth proportional to 30,831.96, 42,548.10 and 16,684.80 is: 23,025.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.96 : 42,548.10 = 16,684.80 : x
  2. Step 2: Convert to fraction form
    30,831.96/42,548.10 = 16,684.80/x
  3. Step 3: Cross multiply
    30,831.96x = 42,548.10 × 16,684.80
  4. Step 4: Simplify right side
    30,831.96x = 709,906,592.07
  5. Step 5: Solve for x
    x = 709,906,592.07/30,831.96
  6. Step 6: Final answer
    x = 23,025.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.