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Finding the Fourth Proportional to 49,897.84, 74,619.40 and 37,256.44

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Solution

The fourth proportional to 49,897.84, 74,619.40 and 37,256.44 is: 55,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,897.84 : 74,619.40 = 37,256.44 : x
  2. Step 2: Convert to fraction form
    49,897.84/74,619.40 = 37,256.44/x
  3. Step 3: Cross multiply
    49,897.84x = 74,619.40 × 37,256.44
  4. Step 4: Simplify right side
    49,897.84x = 2,780,053,198.94
  5. Step 5: Solve for x
    x = 2,780,053,198.94/49,897.84
  6. Step 6: Final answer
    x = 55,714.90

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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.