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Finding the Fourth Proportional to 53,394.84, 80,091.24 and 15,955

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Solution

The fourth proportional to 53,394.84, 80,091.24 and 15,955 is: 23,932.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,394.84 : 80,091.24 = 15,955 : x
  2. Step 2: Convert to fraction form
    53,394.84/80,091.24 = 15,955/x
  3. Step 3: Cross multiply
    53,394.84x = 80,091.24 × 15,955
  4. Step 4: Simplify right side
    53,394.84x = 1,277,855,734.20
  5. Step 5: Solve for x
    x = 1,277,855,734.20/53,394.84
  6. Step 6: Final answer
    x = 23,932.20

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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.