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Finding the Fourth Proportional to 28,126.50, 42,190.14 and 7,350

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Solution

The fourth proportional to 28,126.50, 42,190.14 and 7,350 is: 11,025.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,126.50 : 42,190.14 = 7,350 : x
  2. Step 2: Convert to fraction form
    28,126.50/42,190.14 = 7,350/x
  3. Step 3: Cross multiply
    28,126.50x = 42,190.14 × 7,350
  4. Step 4: Simplify right side
    28,126.50x = 310,097,529
  5. Step 5: Solve for x
    x = 310,097,529/28,126.50
  6. Step 6: Final answer
    x = 11,025.10

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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.