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Finding the Fourth Proportional to 59,911, 89,866.50 and 16,135

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Solution

The fourth proportional to 59,911, 89,866.50 and 16,135 is: 24,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,911 : 89,866.50 = 16,135 : x
  2. Step 2: Convert to fraction form
    59,911/89,866.50 = 16,135/x
  3. Step 3: Cross multiply
    59,911x = 89,866.50 × 16,135
  4. Step 4: Simplify right side
    59,911x = 1,449,995,977.50
  5. Step 5: Solve for x
    x = 1,449,995,977.50/59,911
  6. Step 6: Final answer
    x = 24,202.50

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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.