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Finding the Fourth Proportional to 32,619, 45,014.22 and 17,715

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Solution

The fourth proportional to 32,619, 45,014.22 and 17,715 is: 24,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,619 : 45,014.22 = 17,715 : x
  2. Step 2: Convert to fraction form
    32,619/45,014.22 = 17,715/x
  3. Step 3: Cross multiply
    32,619x = 45,014.22 × 17,715
  4. Step 4: Simplify right side
    32,619x = 797,426,907.30
  5. Step 5: Solve for x
    x = 797,426,907.30/32,619
  6. Step 6: Final answer
    x = 24,446.70

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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.