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Finding the Fourth Proportional to 37,341, 51,531.12 and 20,574

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Solution

The fourth proportional to 37,341, 51,531.12 and 20,574 is: 28,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,341 : 51,531.12 = 20,574 : x
  2. Step 2: Convert to fraction form
    37,341/51,531.12 = 20,574/x
  3. Step 3: Cross multiply
    37,341x = 51,531.12 × 20,574
  4. Step 4: Simplify right side
    37,341x = 1,060,201,262.88
  5. Step 5: Solve for x
    x = 1,060,201,262.88/37,341
  6. Step 6: Final answer
    x = 28,392.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.