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Finding the Fourth Proportional to 56,754.21, 85,101.74 and 21,186.28

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Solution

The fourth proportional to 56,754.21, 85,101.74 and 21,186.28 is: 31,768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,754.21 : 85,101.74 = 21,186.28 : x
  2. Step 2: Convert to fraction form
    56,754.21/85,101.74 = 21,186.28/x
  3. Step 3: Cross multiply
    56,754.21x = 85,101.74 × 21,186.28
  4. Step 4: Simplify right side
    56,754.21x = 1,802,989,012.50
  5. Step 5: Solve for x
    x = 1,802,989,012.50/56,754.21
  6. Step 6: Final answer
    x = 31,768.37

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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.