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Finding the Fourth Proportional to 32,551.68, 48,816 and 20,078.40

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Solution

The fourth proportional to 32,551.68, 48,816 and 20,078.40 is: 30,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,551.68 : 48,816 = 20,078.40 : x
  2. Step 2: Convert to fraction form
    32,551.68/48,816 = 20,078.40/x
  3. Step 3: Cross multiply
    32,551.68x = 48,816 × 20,078.40
  4. Step 4: Simplify right side
    32,551.68x = 980,147,174.40
  5. Step 5: Solve for x
    x = 980,147,174.40/32,551.68
  6. Step 6: Final answer
    x = 30,110.49

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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.