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Finding the Fourth Proportional to 32,391.50, 48,477.50 and 19,919.42

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Solution

The fourth proportional to 32,391.50, 48,477.50 and 19,919.42 is: 29,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,391.50 : 48,477.50 = 19,919.42 : x
  2. Step 2: Convert to fraction form
    32,391.50/48,477.50 = 19,919.42/x
  3. Step 3: Cross multiply
    32,391.50x = 48,477.50 × 19,919.42
  4. Step 4: Simplify right side
    32,391.50x = 965,643,683.05
  5. Step 5: Solve for x
    x = 965,643,683.05/32,391.50
  6. Step 6: Final answer
    x = 29,811.64

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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.