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Finding the Fourth Proportional to 30,406.77, 41,971.37 and 17,831.25

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Solution

The fourth proportional to 30,406.77, 41,971.37 and 17,831.25 is: 24,613.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,406.77 : 41,971.37 = 17,831.25 : x
  2. Step 2: Convert to fraction form
    30,406.77/41,971.37 = 17,831.25/x
  3. Step 3: Cross multiply
    30,406.77x = 41,971.37 × 17,831.25
  4. Step 4: Simplify right side
    30,406.77x = 748,401,902.16
  5. Step 5: Solve for x
    x = 748,401,902.16/30,406.77
  6. Step 6: Final answer
    x = 24,613.00

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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.