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Finding the Fourth Proportional to 28,222.70, 42,332.70 and 9,500.90

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Solution

The fourth proportional to 28,222.70, 42,332.70 and 9,500.90 is: 14,250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,222.70 : 42,332.70 = 9,500.90 : x
  2. Step 2: Convert to fraction form
    28,222.70/42,332.70 = 9,500.90/x
  3. Step 3: Cross multiply
    28,222.70x = 42,332.70 × 9,500.90
  4. Step 4: Simplify right side
    28,222.70x = 402,198,749.43
  5. Step 5: Solve for x
    x = 402,198,749.43/28,222.70
  6. Step 6: Final answer
    x = 14,250.90

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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.