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Finding the Fourth Proportional to 29,978.37, 44,967.96 and 11,254.95

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Solution

The fourth proportional to 29,978.37, 44,967.96 and 11,254.95 is: 16,882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.37 : 44,967.96 = 11,254.95 : x
  2. Step 2: Convert to fraction form
    29,978.37/44,967.96 = 11,254.95/x
  3. Step 3: Cross multiply
    29,978.37x = 44,967.96 × 11,254.95
  4. Step 4: Simplify right side
    29,978.37x = 506,112,141.40
  5. Step 5: Solve for x
    x = 506,112,141.40/29,978.37
  6. Step 6: Final answer
    x = 16,882.58

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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.