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Finding the Fourth Proportional to 44,135, 66,202.50 and 11,303

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Solution

The fourth proportional to 44,135, 66,202.50 and 11,303 is: 16,954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,135 : 66,202.50 = 11,303 : x
  2. Step 2: Convert to fraction form
    44,135/66,202.50 = 11,303/x
  3. Step 3: Cross multiply
    44,135x = 66,202.50 × 11,303
  4. Step 4: Simplify right side
    44,135x = 748,286,857.50
  5. Step 5: Solve for x
    x = 748,286,857.50/44,135
  6. Step 6: Final answer
    x = 16,954.50

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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.