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Finding the Fourth Proportional to 32,346.76, 44,638 and 18,199.63

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Solution

The fourth proportional to 32,346.76, 44,638 and 18,199.63 is: 25,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,346.76 : 44,638 = 18,199.63 : x
  2. Step 2: Convert to fraction form
    32,346.76/44,638 = 18,199.63/x
  3. Step 3: Cross multiply
    32,346.76x = 44,638 × 18,199.63
  4. Step 4: Simplify right side
    32,346.76x = 812,395,083.94
  5. Step 5: Solve for x
    x = 812,395,083.94/32,346.76
  6. Step 6: Final answer
    x = 25,115.19

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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.