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Finding the Fourth Proportional to 32,731, 45,169.26 and 17,827

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Solution

The fourth proportional to 32,731, 45,169.26 and 17,827 is: 24,601.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,731 : 45,169.26 = 17,827 : x
  2. Step 2: Convert to fraction form
    32,731/45,169.26 = 17,827/x
  3. Step 3: Cross multiply
    32,731x = 45,169.26 × 17,827
  4. Step 4: Simplify right side
    32,731x = 805,232,398.02
  5. Step 5: Solve for x
    x = 805,232,398.02/32,731
  6. Step 6: Final answer
    x = 24,601.52

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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.