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Finding the Fourth Proportional to 28,093.50, 42,142.68 and 7,317

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Solution

The fourth proportional to 28,093.50, 42,142.68 and 7,317 is: 10,976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,093.50 : 42,142.68 = 7,317 : x
  2. Step 2: Convert to fraction form
    28,093.50/42,142.68 = 7,317/x
  3. Step 3: Cross multiply
    28,093.50x = 42,142.68 × 7,317
  4. Step 4: Simplify right side
    28,093.50x = 308,357,989.56
  5. Step 5: Solve for x
    x = 308,357,989.56/28,093.50
  6. Step 6: Final answer
    x = 10,976.13

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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.