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Finding the Fourth Proportional to 32,207.34, 48,292.04 and 14,667.60

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Solution

The fourth proportional to 32,207.34, 48,292.04 and 14,667.60 is: 21,992.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,207.34 : 48,292.04 = 14,667.60 : x
  2. Step 2: Convert to fraction form
    32,207.34/48,292.04 = 14,667.60/x
  3. Step 3: Cross multiply
    32,207.34x = 48,292.04 × 14,667.60
  4. Step 4: Simplify right side
    32,207.34x = 708,328,325.90
  5. Step 5: Solve for x
    x = 708,328,325.90/32,207.34
  6. Step 6: Final answer
    x = 21,992.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.