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Finding the Fourth Proportional to 56,333, 84,443.56 and 31,384.44

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Solution

The fourth proportional to 56,333, 84,443.56 and 31,384.44 is: 47,045.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,333 : 84,443.56 = 31,384.44 : x
  2. Step 2: Convert to fraction form
    56,333/84,443.56 = 31,384.44/x
  3. Step 3: Cross multiply
    56,333x = 84,443.56 × 31,384.44
  4. Step 4: Simplify right side
    56,333x = 2,650,213,842.21
  5. Step 5: Solve for x
    x = 2,650,213,842.21/56,333
  6. Step 6: Final answer
    x = 47,045.49

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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.