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Finding the Fourth Proportional to 56,339, 84,452.56 and 31,390.44

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Solution

The fourth proportional to 56,339, 84,452.56 and 31,390.44 is: 47,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,339 : 84,452.56 = 31,390.44 : x
  2. Step 2: Convert to fraction form
    56,339/84,452.56 = 31,390.44/x
  3. Step 3: Cross multiply
    56,339x = 84,452.56 × 31,390.44
  4. Step 4: Simplify right side
    56,339x = 2,651,003,017.53
  5. Step 5: Solve for x
    x = 2,651,003,017.53/56,339
  6. Step 6: Final answer
    x = 47,054.49

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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.