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Finding the Fourth Proportional to 32,034.60, 44,203.38 and 17,885.64

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Solution

The fourth proportional to 32,034.60, 44,203.38 and 17,885.64 is: 24,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,034.60 : 44,203.38 = 17,885.64 : x
  2. Step 2: Convert to fraction form
    32,034.60/44,203.38 = 17,885.64/x
  3. Step 3: Cross multiply
    32,034.60x = 44,203.38 × 17,885.64
  4. Step 4: Simplify right side
    32,034.60x = 790,605,741.46
  5. Step 5: Solve for x
    x = 790,605,741.46/32,034.60
  6. Step 6: Final answer
    x = 24,679.74

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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.