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Finding the Fourth Proportional to 44,564.49, 66,846.74 and 10,830.33

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Solution

The fourth proportional to 44,564.49, 66,846.74 and 10,830.33 is: 16,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,564.49 : 66,846.74 = 10,830.33 : x
  2. Step 2: Convert to fraction form
    44,564.49/66,846.74 = 10,830.33/x
  3. Step 3: Cross multiply
    44,564.49x = 66,846.74 × 10,830.33
  4. Step 4: Simplify right side
    44,564.49x = 723,972,199.47
  5. Step 5: Solve for x
    x = 723,972,199.47/44,564.49
  6. Step 6: Final answer
    x = 16,245.50

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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.