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Finding the Fourth Proportional to 50,094, 75,166.92 and 25,470

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Solution

The fourth proportional to 50,094, 75,166.92 and 25,470 is: 38,218.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,094 : 75,166.92 = 25,470 : x
  2. Step 2: Convert to fraction form
    50,094/75,166.92 = 25,470/x
  3. Step 3: Cross multiply
    50,094x = 75,166.92 × 25,470
  4. Step 4: Simplify right side
    50,094x = 1,914,501,452.40
  5. Step 5: Solve for x
    x = 1,914,501,452.40/50,094
  6. Step 6: Final answer
    x = 38,218.18

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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.