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Finding the Fourth Proportional to 29,978.95, 44,963.37 and 10,999.66

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Solution

The fourth proportional to 29,978.95, 44,963.37 and 10,999.66 is: 16,497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.95 : 44,963.37 = 10,999.66 : x
  2. Step 2: Convert to fraction form
    29,978.95/44,963.37 = 10,999.66/x
  3. Step 3: Cross multiply
    29,978.95x = 44,963.37 × 10,999.66
  4. Step 4: Simplify right side
    29,978.95x = 494,581,782.45
  5. Step 5: Solve for x
    x = 494,581,782.45/29,978.95
  6. Step 6: Final answer
    x = 16,497.64

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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.