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Finding the Fourth Proportional to 71,077.95, 106,554.10 and 28,993.24

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Solution

The fourth proportional to 71,077.95, 106,554.10 and 28,993.24 is: 43,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,077.95 : 106,554.10 = 28,993.24 : x
  2. Step 2: Convert to fraction form
    71,077.95/106,554.10 = 28,993.24/x
  3. Step 3: Cross multiply
    71,077.95x = 106,554.10 × 28,993.24
  4. Step 4: Simplify right side
    71,077.95x = 3,089,348,594.28
  5. Step 5: Solve for x
    x = 3,089,348,594.28/71,077.95
  6. Step 6: Final answer
    x = 43,464.23

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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.