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Finding the Fourth Proportional to 127,093, 190,639.50 and 33,598.75

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Solution

The fourth proportional to 127,093, 190,639.50 and 33,598.75 is: 50,398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,093 : 190,639.50 = 33,598.75 : x
  2. Step 2: Convert to fraction form
    127,093/190,639.50 = 33,598.75/x
  3. Step 3: Cross multiply
    127,093x = 190,639.50 × 33,598.75
  4. Step 4: Simplify right side
    127,093x = 6,405,248,900.63
  5. Step 5: Solve for x
    x = 6,405,248,900.63/127,093
  6. Step 6: Final answer
    x = 50,398.13

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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.