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Finding the Fourth Proportional to 89,865, 134,797.50 and 24,201

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Solution

The fourth proportional to 89,865, 134,797.50 and 24,201 is: 36,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,865 : 134,797.50 = 24,201 : x
  2. Step 2: Convert to fraction form
    89,865/134,797.50 = 24,201/x
  3. Step 3: Cross multiply
    89,865x = 134,797.50 × 24,201
  4. Step 4: Simplify right side
    89,865x = 3,262,234,297.50
  5. Step 5: Solve for x
    x = 3,262,234,297.50/89,865
  6. Step 6: Final answer
    x = 36,301.50

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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.