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Finding the Fourth Proportional to 32,109.52, 48,174 and 13,398.52

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Solution

The fourth proportional to 32,109.52, 48,174 and 13,398.52 is: 20,101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,109.52 : 48,174 = 13,398.52 : x
  2. Step 2: Convert to fraction form
    32,109.52/48,174 = 13,398.52/x
  3. Step 3: Cross multiply
    32,109.52x = 48,174 × 13,398.52
  4. Step 4: Simplify right side
    32,109.52x = 645,460,302.48
  5. Step 5: Solve for x
    x = 645,460,302.48/32,109.52
  6. Step 6: Final answer
    x = 20,101.84

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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.