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Finding the Fourth Proportional to 37,341, 51,533.82 and 20,577.24

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Solution

The fourth proportional to 37,341, 51,533.82 and 20,577.24 is: 28,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,341 : 51,533.82 = 20,577.24 : x
  2. Step 2: Convert to fraction form
    37,341/51,533.82 = 20,577.24/x
  3. Step 3: Cross multiply
    37,341x = 51,533.82 × 20,577.24
  4. Step 4: Simplify right side
    37,341x = 1,060,423,782.26
  5. Step 5: Solve for x
    x = 1,060,423,782.26/37,341
  6. Step 6: Final answer
    x = 28,398.38

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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.