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Finding the Fourth Proportional to 30,409.56, 41,962.32 and 17,831.88

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Solution

The fourth proportional to 30,409.56, 41,962.32 and 17,831.88 is: 24,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409.56 : 41,962.32 = 17,831.88 : x
  2. Step 2: Convert to fraction form
    30,409.56/41,962.32 = 17,831.88/x
  3. Step 3: Cross multiply
    30,409.56x = 41,962.32 × 17,831.88
  4. Step 4: Simplify right side
    30,409.56x = 748,267,054.76
  5. Step 5: Solve for x
    x = 748,267,054.76/30,409.56
  6. Step 6: Final answer
    x = 24,606.31

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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.