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Finding the Fourth Proportional to 37,563, 51,838.65 and 20,796

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Solution

The fourth proportional to 37,563, 51,838.65 and 20,796 is: 28,699.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,563 : 51,838.65 = 20,796 : x
  2. Step 2: Convert to fraction form
    37,563/51,838.65 = 20,796/x
  3. Step 3: Cross multiply
    37,563x = 51,838.65 × 20,796
  4. Step 4: Simplify right side
    37,563x = 1,078,036,565.40
  5. Step 5: Solve for x
    x = 1,078,036,565.40/37,563
  6. Step 6: Final answer
    x = 28,699.43

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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.