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Finding the Fourth Proportional to 28,949, 43,427.56 and 8,960.16

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Solution

The fourth proportional to 28,949, 43,427.56 and 8,960.16 is: 13,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,949 : 43,427.56 = 8,960.16 : x
  2. Step 2: Convert to fraction form
    28,949/43,427.56 = 8,960.16/x
  3. Step 3: Cross multiply
    28,949x = 43,427.56 × 8,960.16
  4. Step 4: Simplify right side
    28,949x = 389,117,886.01
  5. Step 5: Solve for x
    x = 389,117,886.01/28,949
  6. Step 6: Final answer
    x = 13,441.50

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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.