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Finding the Fourth Proportional to 30,831.93, 42,548.16 and 16,684.77

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Solution

The fourth proportional to 30,831.93, 42,548.16 and 16,684.77 is: 23,025.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.93 : 42,548.16 = 16,684.77 : x
  2. Step 2: Convert to fraction form
    30,831.93/42,548.16 = 16,684.77/x
  3. Step 3: Cross multiply
    30,831.93x = 42,548.16 × 16,684.77
  4. Step 4: Simplify right side
    30,831.93x = 709,906,050.78
  5. Step 5: Solve for x
    x = 709,906,050.78/30,831.93
  6. Step 6: Final answer
    x = 23,025.03

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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.