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Finding the Fourth Proportional to 32,409.10, 48,613.65 and 18,412.30

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Solution

The fourth proportional to 32,409.10, 48,613.65 and 18,412.30 is: 27,618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.10 : 48,613.65 = 18,412.30 : x
  2. Step 2: Convert to fraction form
    32,409.10/48,613.65 = 18,412.30/x
  3. Step 3: Cross multiply
    32,409.10x = 48,613.65 × 18,412.30
  4. Step 4: Simplify right side
    32,409.10x = 895,089,107.90
  5. Step 5: Solve for x
    x = 895,089,107.90/32,409.10
  6. Step 6: Final answer
    x = 27,618.45

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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.