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Finding the Fourth Proportional to 29,978.69, 44,989.97 and 14,407.25

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Solution

The fourth proportional to 29,978.69, 44,989.97 and 14,407.25 is: 21,621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.69 : 44,989.97 = 14,407.25 : x
  2. Step 2: Convert to fraction form
    29,978.69/44,989.97 = 14,407.25/x
  3. Step 3: Cross multiply
    29,978.69x = 44,989.97 × 14,407.25
  4. Step 4: Simplify right side
    29,978.69x = 648,181,448.30
  5. Step 5: Solve for x
    x = 648,181,448.30/29,978.69
  6. Step 6: Final answer
    x = 21,621.41

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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.