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Finding the Fourth Proportional to 29,978.82, 44,963.73 and 18,851.58

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Solution

The fourth proportional to 29,978.82, 44,963.73 and 18,851.58 is: 28,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.82 : 44,963.73 = 18,851.58 : x
  2. Step 2: Convert to fraction form
    29,978.82/44,963.73 = 18,851.58/x
  3. Step 3: Cross multiply
    29,978.82x = 44,963.73 × 18,851.58
  4. Step 4: Simplify right side
    29,978.82x = 847,637,353.19
  5. Step 5: Solve for x
    x = 847,637,353.19/29,978.82
  6. Step 6: Final answer
    x = 28,274.54

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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.