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Finding the Fourth Proportional to 32,659, 45,069.78 and 17,755

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Solution

The fourth proportional to 32,659, 45,069.78 and 17,755 is: 24,502.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,659 : 45,069.78 = 17,755 : x
  2. Step 2: Convert to fraction form
    32,659/45,069.78 = 17,755/x
  3. Step 3: Cross multiply
    32,659x = 45,069.78 × 17,755
  4. Step 4: Simplify right side
    32,659x = 800,213,943.90
  5. Step 5: Solve for x
    x = 800,213,943.90/32,659
  6. Step 6: Final answer
    x = 24,502.10

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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.