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Finding the Fourth Proportional to 75,767, 113,548.44 and 28,994.36

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Solution

The fourth proportional to 75,767, 113,548.44 and 28,994.36 is: 43,452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,767 : 113,548.44 = 28,994.36 : x
  2. Step 2: Convert to fraction form
    75,767/113,548.44 = 28,994.36/x
  3. Step 3: Cross multiply
    75,767x = 113,548.44 × 28,994.36
  4. Step 4: Simplify right side
    75,767x = 3,292,264,346.80
  5. Step 5: Solve for x
    x = 3,292,264,346.80/75,767
  6. Step 6: Final answer
    x = 43,452.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.