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Finding the Fourth Proportional to 56,347.62, 77,754.33 and 33,682.11

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Solution

The fourth proportional to 56,347.62, 77,754.33 and 33,682.11 is: 46,478.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,347.62 : 77,754.33 = 33,682.11 : x
  2. Step 2: Convert to fraction form
    56,347.62/77,754.33 = 33,682.11/x
  3. Step 3: Cross multiply
    56,347.62x = 77,754.33 × 33,682.11
  4. Step 4: Simplify right side
    56,347.62x = 2,618,929,896.04
  5. Step 5: Solve for x
    x = 2,618,929,896.04/56,347.62
  6. Step 6: Final answer
    x = 46,478.09

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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.