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Finding the Fourth Proportional to 56,219.40, 77,519.84 and 38,324.88

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Solution

The fourth proportional to 56,219.40, 77,519.84 and 38,324.88 is: 52,845.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,219.40 : 77,519.84 = 38,324.88 : x
  2. Step 2: Convert to fraction form
    56,219.40/77,519.84 = 38,324.88/x
  3. Step 3: Cross multiply
    56,219.40x = 77,519.84 × 38,324.88
  4. Step 4: Simplify right side
    56,219.40x = 2,970,938,373.99
  5. Step 5: Solve for x
    x = 2,970,938,373.99/56,219.40
  6. Step 6: Final answer
    x = 52,845.43

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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.