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Finding the Fourth Proportional to 30,617.32, 45,816.54 and 23,998

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Solution

The fourth proportional to 30,617.32, 45,816.54 and 23,998 is: 35,911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,617.32 : 45,816.54 = 23,998 : x
  2. Step 2: Convert to fraction form
    30,617.32/45,816.54 = 23,998/x
  3. Step 3: Cross multiply
    30,617.32x = 45,816.54 × 23,998
  4. Step 4: Simplify right side
    30,617.32x = 1,099,505,326.92
  5. Step 5: Solve for x
    x = 1,099,505,326.92/30,617.32
  6. Step 6: Final answer
    x = 35,911.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.