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Finding the Fourth Proportional to 50,090, 75,160.92 and 25,466

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Solution

The fourth proportional to 50,090, 75,160.92 and 25,466 is: 38,212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,090 : 75,160.92 = 25,466 : x
  2. Step 2: Convert to fraction form
    50,090/75,160.92 = 25,466/x
  3. Step 3: Cross multiply
    50,090x = 75,160.92 × 25,466
  4. Step 4: Simplify right side
    50,090x = 1,914,047,988.72
  5. Step 5: Solve for x
    x = 1,914,047,988.72/50,090
  6. Step 6: Final answer
    x = 38,212.18

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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.