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Finding the Fourth Proportional to 45,029.32, 62,137.34 and 24,886

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Solution

The fourth proportional to 45,029.32, 62,137.34 and 24,886 is: 34,340.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,029.32 : 62,137.34 = 24,886 : x
  2. Step 2: Convert to fraction form
    45,029.32/62,137.34 = 24,886/x
  3. Step 3: Cross multiply
    45,029.32x = 62,137.34 × 24,886
  4. Step 4: Simplify right side
    45,029.32x = 1,546,349,843.24
  5. Step 5: Solve for x
    x = 1,546,349,843.24/45,029.32
  6. Step 6: Final answer
    x = 34,340.95

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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.