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Finding the Fourth Proportional to 31,116, 42,940.08 and 19,944.48

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Solution

The fourth proportional to 31,116, 42,940.08 and 19,944.48 is: 27,523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,116 : 42,940.08 = 19,944.48 : x
  2. Step 2: Convert to fraction form
    31,116/42,940.08 = 19,944.48/x
  3. Step 3: Cross multiply
    31,116x = 42,940.08 × 19,944.48
  4. Step 4: Simplify right side
    31,116x = 856,417,566.76
  5. Step 5: Solve for x
    x = 856,417,566.76/31,116
  6. Step 6: Final answer
    x = 27,523.38

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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.