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Finding the Fourth Proportional to 40,094, 60,141.25 and 10,511.57

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Solution

The fourth proportional to 40,094, 60,141.25 and 10,511.57 is: 15,767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,094 : 60,141.25 = 10,511.57 : x
  2. Step 2: Convert to fraction form
    40,094/60,141.25 = 10,511.57/x
  3. Step 3: Cross multiply
    40,094x = 60,141.25 × 10,511.57
  4. Step 4: Simplify right side
    40,094x = 632,178,959.26
  5. Step 5: Solve for x
    x = 632,178,959.26/40,094
  6. Step 6: Final answer
    x = 15,767.42

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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.