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Finding the Fourth Proportional to 32,407, 44,741.10 and 21,248.44

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Solution

The fourth proportional to 32,407, 44,741.10 and 21,248.44 is: 29,335.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407 : 44,741.10 = 21,248.44 : x
  2. Step 2: Convert to fraction form
    32,407/44,741.10 = 21,248.44/x
  3. Step 3: Cross multiply
    32,407x = 44,741.10 × 21,248.44
  4. Step 4: Simplify right side
    32,407x = 950,678,578.88
  5. Step 5: Solve for x
    x = 950,678,578.88/32,407
  6. Step 6: Final answer
    x = 29,335.59

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1.5x scale

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.