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Finding the Fourth Proportional to 28,954.13, 43,438.48 and 8,177.63

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Solution

The fourth proportional to 28,954.13, 43,438.48 and 8,177.63 is: 12,268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,954.13 : 43,438.48 = 8,177.63 : x
  2. Step 2: Convert to fraction form
    28,954.13/43,438.48 = 8,177.63/x
  3. Step 3: Cross multiply
    28,954.13x = 43,438.48 × 8,177.63
  4. Step 4: Simplify right side
    28,954.13x = 355,223,579.57
  5. Step 5: Solve for x
    x = 355,223,579.57/28,954.13
  6. Step 6: Final answer
    x = 12,268.50

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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.