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Finding the Fourth Proportional to 59,536, 89,304 and 15,760

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Solution

The fourth proportional to 59,536, 89,304 and 15,760 is: 23,640

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,536 : 89,304 = 15,760 : x
  2. Step 2: Convert to fraction form
    59,536/89,304 = 15,760/x
  3. Step 3: Cross multiply
    59,536x = 89,304 × 15,760
  4. Step 4: Simplify right side
    59,536x = 1,407,431,040
  5. Step 5: Solve for x
    x = 1,407,431,040/59,536
  6. Step 6: Final answer
    x = 23,640

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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.