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Finding the Fourth Proportional to 61,805.92, 92,708.88 and 24,844

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Solution

The fourth proportional to 61,805.92, 92,708.88 and 24,844 is: 37,266.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,805.92 : 92,708.88 = 24,844 : x
  2. Step 2: Convert to fraction form
    61,805.92/92,708.88 = 24,844/x
  3. Step 3: Cross multiply
    61,805.92x = 92,708.88 × 24,844
  4. Step 4: Simplify right side
    61,805.92x = 2,303,259,414.72
  5. Step 5: Solve for x
    x = 2,303,259,414.72/61,805.92
  6. Step 6: Final answer
    x = 37,266.00

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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.