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Finding the Fourth Proportional to 29,887.24, 44,824.02 and 8,827.60

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Solution

The fourth proportional to 29,887.24, 44,824.02 and 8,827.60 is: 13,239.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,887.24 : 44,824.02 = 8,827.60 : x
  2. Step 2: Convert to fraction form
    29,887.24/44,824.02 = 8,827.60/x
  3. Step 3: Cross multiply
    29,887.24x = 44,824.02 × 8,827.60
  4. Step 4: Simplify right side
    29,887.24x = 395,688,518.95
  5. Step 5: Solve for x
    x = 395,688,518.95/29,887.24
  6. Step 6: Final answer
    x = 13,239.38

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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.