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Finding the Fourth Proportional to 28,801, 43,203.98 and 8,024.50

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Solution

The fourth proportional to 28,801, 43,203.98 and 8,024.50 is: 12,037.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,801 : 43,203.98 = 8,024.50 : x
  2. Step 2: Convert to fraction form
    28,801/43,203.98 = 8,024.50/x
  3. Step 3: Cross multiply
    28,801x = 43,203.98 × 8,024.50
  4. Step 4: Simplify right side
    28,801x = 346,690,337.51
  5. Step 5: Solve for x
    x = 346,690,337.51/28,801
  6. Step 6: Final answer
    x = 12,037.44

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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.