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Finding the Fourth Proportional to 56,337, 84,449.56 and 31,388.44

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Solution

The fourth proportional to 56,337, 84,449.56 and 31,388.44 is: 47,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,337 : 84,449.56 = 31,388.44 : x
  2. Step 2: Convert to fraction form
    56,337/84,449.56 = 31,388.44/x
  3. Step 3: Cross multiply
    56,337x = 84,449.56 × 31,388.44
  4. Step 4: Simplify right side
    56,337x = 2,650,739,947.09
  5. Step 5: Solve for x
    x = 2,650,739,947.09/56,337
  6. Step 6: Final answer
    x = 47,051.49

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1.5x scale

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.