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Finding the Fourth Proportional to 37,547, 56,375.88 and 20,939.48

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Solution

The fourth proportional to 37,547, 56,375.88 and 20,939.48 is: 31,440.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,547 : 56,375.88 = 20,939.48 : x
  2. Step 2: Convert to fraction form
    37,547/56,375.88 = 20,939.48/x
  3. Step 3: Cross multiply
    37,547x = 56,375.88 × 20,939.48
  4. Step 4: Simplify right side
    37,547x = 1,180,481,611.74
  5. Step 5: Solve for x
    x = 1,180,481,611.74/37,547
  6. Step 6: Final answer
    x = 31,440.10

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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.