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Finding the Fourth Proportional to 32,269.60, 48,404.40 and 27,409.60

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Solution

The fourth proportional to 32,269.60, 48,404.40 and 27,409.60 is: 41,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,269.60 : 48,404.40 = 27,409.60 : x
  2. Step 2: Convert to fraction form
    32,269.60/48,404.40 = 27,409.60/x
  3. Step 3: Cross multiply
    32,269.60x = 48,404.40 × 27,409.60
  4. Step 4: Simplify right side
    32,269.60x = 1,326,745,242.24
  5. Step 5: Solve for x
    x = 1,326,745,242.24/32,269.60
  6. Step 6: Final answer
    x = 41,114.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.