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Finding the Fourth Proportional to 29,954.66, 44,928.14 and 7,769.57

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Solution

The fourth proportional to 29,954.66, 44,928.14 and 7,769.57 is: 11,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,954.66 : 44,928.14 = 7,769.57 : x
  2. Step 2: Convert to fraction form
    29,954.66/44,928.14 = 7,769.57/x
  3. Step 3: Cross multiply
    29,954.66x = 44,928.14 × 7,769.57
  4. Step 4: Simplify right side
    29,954.66x = 349,072,065.21
  5. Step 5: Solve for x
    x = 349,072,065.21/29,954.66
  6. Step 6: Final answer
    x = 11,653.35

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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.