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Finding the Fourth Proportional to 56,315.44, 84,442 and 23,058.88

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Solution

The fourth proportional to 56,315.44, 84,442 and 23,058.88 is: 34,575.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,315.44 : 84,442 = 23,058.88 : x
  2. Step 2: Convert to fraction form
    56,315.44/84,442 = 23,058.88/x
  3. Step 3: Cross multiply
    56,315.44x = 84,442 × 23,058.88
  4. Step 4: Simplify right side
    56,315.44x = 1,947,137,944.96
  5. Step 5: Solve for x
    x = 1,947,137,944.96/56,315.44
  6. Step 6: Final answer
    x = 34,575.56

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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.