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Finding the Fourth Proportional to 37,512, 56,287.44 and 19,044

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Solution

The fourth proportional to 37,512, 56,287.44 and 19,044 is: 28,575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,512 : 56,287.44 = 19,044 : x
  2. Step 2: Convert to fraction form
    37,512/56,287.44 = 19,044/x
  3. Step 3: Cross multiply
    37,512x = 56,287.44 × 19,044
  4. Step 4: Simplify right side
    37,512x = 1,071,938,007.36
  5. Step 5: Solve for x
    x = 1,071,938,007.36/37,512
  6. Step 6: Final answer
    x = 28,575.87

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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.