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Finding the Fourth Proportional to 32,186.72, 48,266.40 and 14,667.68

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Solution

The fourth proportional to 32,186.72, 48,266.40 and 14,667.68 is: 21,995.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,186.72 : 48,266.40 = 14,667.68 : x
  2. Step 2: Convert to fraction form
    32,186.72/48,266.40 = 14,667.68/x
  3. Step 3: Cross multiply
    32,186.72x = 48,266.40 × 14,667.68
  4. Step 4: Simplify right side
    32,186.72x = 707,956,109.95
  5. Step 5: Solve for x
    x = 707,956,109.95/32,186.72
  6. Step 6: Final answer
    x = 21,995.29

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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.