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Finding the Fourth Proportional to 29,978.22, 44,972.07 and 11,259.68

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Solution

The fourth proportional to 29,978.22, 44,972.07 and 11,259.68 is: 16,891.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.22 : 44,972.07 = 11,259.68 : x
  2. Step 2: Convert to fraction form
    29,978.22/44,972.07 = 11,259.68/x
  3. Step 3: Cross multiply
    29,978.22x = 44,972.07 × 11,259.68
  4. Step 4: Simplify right side
    29,978.22x = 506,370,881.69
  5. Step 5: Solve for x
    x = 506,370,881.69/29,978.22
  6. Step 6: Final answer
    x = 16,891.29

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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.