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Finding the Fourth Proportional to 32,197.22, 44,434.74 and 17,858.46

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Solution

The fourth proportional to 32,197.22, 44,434.74 and 17,858.46 is: 24,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,197.22 : 44,434.74 = 17,858.46 : x
  2. Step 2: Convert to fraction form
    32,197.22/44,434.74 = 17,858.46/x
  3. Step 3: Cross multiply
    32,197.22x = 44,434.74 × 17,858.46
  4. Step 4: Simplify right side
    32,197.22x = 793,536,026.90
  5. Step 5: Solve for x
    x = 793,536,026.90/32,197.22
  6. Step 6: Final answer
    x = 24,646.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.