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Finding the Fourth Proportional to 32,668.96, 48,977.52 and 14,188

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Solution

The fourth proportional to 32,668.96, 48,977.52 and 14,188 is: 21,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,668.96 : 48,977.52 = 14,188 : x
  2. Step 2: Convert to fraction form
    32,668.96/48,977.52 = 14,188/x
  3. Step 3: Cross multiply
    32,668.96x = 48,977.52 × 14,188
  4. Step 4: Simplify right side
    32,668.96x = 694,893,053.76
  5. Step 5: Solve for x
    x = 694,893,053.76/32,668.96
  6. Step 6: Final answer
    x = 21,270.74

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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.