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Finding the Fourth Proportional to 32,266, 48,418.44 and 13,798

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Solution

The fourth proportional to 32,266, 48,418.44 and 13,798 is: 20,705.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,266 : 48,418.44 = 13,798 : x
  2. Step 2: Convert to fraction form
    32,266/48,418.44 = 13,798/x
  3. Step 3: Cross multiply
    32,266x = 48,418.44 × 13,798
  4. Step 4: Simplify right side
    32,266x = 668,077,635.12
  5. Step 5: Solve for x
    x = 668,077,635.12/32,266
  6. Step 6: Final answer
    x = 20,705.31

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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.