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Finding the Fourth Proportional to 35,225.50, 52,838.28 and 8,930.20

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Solution

The fourth proportional to 35,225.50, 52,838.28 and 8,930.20 is: 13,395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,225.50 : 52,838.28 = 8,930.20 : x
  2. Step 2: Convert to fraction form
    35,225.50/52,838.28 = 8,930.20/x
  3. Step 3: Cross multiply
    35,225.50x = 52,838.28 × 8,930.20
  4. Step 4: Simplify right side
    35,225.50x = 471,856,408.06
  5. Step 5: Solve for x
    x = 471,856,408.06/35,225.50
  6. Step 6: Final answer
    x = 13,395.31

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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.