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Finding the Fourth Proportional to 27,955.74, 41,924.96 and 10,433.82

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Solution

The fourth proportional to 27,955.74, 41,924.96 and 10,433.82 is: 15,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,955.74 : 41,924.96 = 10,433.82 : x
  2. Step 2: Convert to fraction form
    27,955.74/41,924.96 = 10,433.82/x
  3. Step 3: Cross multiply
    27,955.74x = 41,924.96 × 10,433.82
  4. Step 4: Simplify right side
    27,955.74x = 437,437,486.15
  5. Step 5: Solve for x
    x = 437,437,486.15/27,955.74
  6. Step 6: Final answer
    x = 15,647.50

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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.