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Finding the Fourth Proportional to 50,265, 75,432.06 and 17,433

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Solution

The fourth proportional to 50,265, 75,432.06 and 17,433 is: 26,161.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,265 : 75,432.06 = 17,433 : x
  2. Step 2: Convert to fraction form
    50,265/75,432.06 = 17,433/x
  3. Step 3: Cross multiply
    50,265x = 75,432.06 × 17,433
  4. Step 4: Simplify right side
    50,265x = 1,315,007,101.98
  5. Step 5: Solve for x
    x = 1,315,007,101.98/50,265
  6. Step 6: Final answer
    x = 26,161.49

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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.