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Finding the Fourth Proportional to 99,706.14, 149,503.14 and 33,110.64

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Solution

The fourth proportional to 99,706.14, 149,503.14 and 33,110.64 is: 49,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,706.14 : 149,503.14 = 33,110.64 : x
  2. Step 2: Convert to fraction form
    99,706.14/149,503.14 = 33,110.64/x
  3. Step 3: Cross multiply
    99,706.14x = 149,503.14 × 33,110.64
  4. Step 4: Simplify right side
    99,706.14x = 4,950,144,647.41
  5. Step 5: Solve for x
    x = 4,950,144,647.41/99,706.14
  6. Step 6: Final answer
    x = 49,647.34

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1.5x scale

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.