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Finding the Fourth Proportional to 39,278.19, 54,194.44 and 23,146.16

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Solution

The fourth proportional to 39,278.19, 54,194.44 and 23,146.16 is: 31,936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,278.19 : 54,194.44 = 23,146.16 : x
  2. Step 2: Convert to fraction form
    39,278.19/54,194.44 = 23,146.16/x
  3. Step 3: Cross multiply
    39,278.19x = 54,194.44 × 23,146.16
  4. Step 4: Simplify right side
    39,278.19x = 1,254,392,908.38
  5. Step 5: Solve for x
    x = 1,254,392,908.38/39,278.19
  6. Step 6: Final answer
    x = 31,936.12

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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.