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Finding the Fourth Proportional to 49,911.64, 74,801.82 and 24,625.06

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Solution

The fourth proportional to 49,911.64, 74,801.82 and 24,625.06 is: 36,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,911.64 : 74,801.82 = 24,625.06 : x
  2. Step 2: Convert to fraction form
    49,911.64/74,801.82 = 24,625.06/x
  3. Step 3: Cross multiply
    49,911.64x = 74,801.82 × 24,625.06
  4. Step 4: Simplify right side
    49,911.64x = 1,841,999,305.61
  5. Step 5: Solve for x
    x = 1,841,999,305.61/49,911.64
  6. Step 6: Final answer
    x = 36,905.20

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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.