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Finding the Fourth Proportional to 32,493, 44,840.40 and 17,589

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Solution

The fourth proportional to 32,493, 44,840.40 and 17,589 is: 24,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,493 : 44,840.40 = 17,589 : x
  2. Step 2: Convert to fraction form
    32,493/44,840.40 = 17,589/x
  3. Step 3: Cross multiply
    32,493x = 44,840.40 × 17,589
  4. Step 4: Simplify right side
    32,493x = 788,697,795.60
  5. Step 5: Solve for x
    x = 788,697,795.60/32,493
  6. Step 6: Final answer
    x = 24,272.85

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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.