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Finding the Fourth Proportional to 30,831.99, 42,548.26 and 16,684.84

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Solution

The fourth proportional to 30,831.99, 42,548.26 and 16,684.84 is: 23,025.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.99 : 42,548.26 = 16,684.84 : x
  2. Step 2: Convert to fraction form
    30,831.99/42,548.26 = 16,684.84/x
  3. Step 3: Cross multiply
    30,831.99x = 42,548.26 × 16,684.84
  4. Step 4: Simplify right side
    30,831.99x = 709,910,910.38
  5. Step 5: Solve for x
    x = 709,910,910.38/30,831.99
  6. Step 6: Final answer
    x = 23,025.14

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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.