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Finding the Fourth Proportional to 32,206.34, 44,447.33 and 17,867.59

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Solution

The fourth proportional to 32,206.34, 44,447.33 and 17,867.59 is: 24,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,206.34 : 44,447.33 = 17,867.59 : x
  2. Step 2: Convert to fraction form
    32,206.34/44,447.33 = 17,867.59/x
  3. Step 3: Cross multiply
    32,206.34x = 44,447.33 × 17,867.59
  4. Step 4: Simplify right side
    32,206.34x = 794,166,602.59
  5. Step 5: Solve for x
    x = 794,166,602.59/32,206.34
  6. Step 6: Final answer
    x = 24,658.70

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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.