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Finding the Fourth Proportional to 44,978.64, 67,468.08 and 13,813.68

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Solution

The fourth proportional to 44,978.64, 67,468.08 and 13,813.68 is: 20,720.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,978.64 : 67,468.08 = 13,813.68 : x
  2. Step 2: Convert to fraction form
    44,978.64/67,468.08 = 13,813.68/x
  3. Step 3: Cross multiply
    44,978.64x = 67,468.08 × 13,813.68
  4. Step 4: Simplify right side
    44,978.64x = 931,982,467.33
  5. Step 5: Solve for x
    x = 931,982,467.33/44,978.64
  6. Step 6: Final answer
    x = 20,720.56

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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.