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Finding the Fourth Proportional to 89,962, 134,943 and 24,298

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Solution

The fourth proportional to 89,962, 134,943 and 24,298 is: 36,447

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,962 : 134,943 = 24,298 : x
  2. Step 2: Convert to fraction form
    89,962/134,943 = 24,298/x
  3. Step 3: Cross multiply
    89,962x = 134,943 × 24,298
  4. Step 4: Simplify right side
    89,962x = 3,278,845,014
  5. Step 5: Solve for x
    x = 3,278,845,014/89,962
  6. Step 6: Final answer
    x = 36,447

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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.