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Finding the Fourth Proportional to 75,829.36, 113,607.84 and 44,647.60

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Solution

The fourth proportional to 75,829.36, 113,607.84 and 44,647.60 is: 66,891.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,829.36 : 113,607.84 = 44,647.60 : x
  2. Step 2: Convert to fraction form
    75,829.36/113,607.84 = 44,647.60/x
  3. Step 3: Cross multiply
    75,829.36x = 113,607.84 × 44,647.60
  4. Step 4: Simplify right side
    75,829.36x = 5,072,317,397.18
  5. Step 5: Solve for x
    x = 5,072,317,397.18/75,829.36
  6. Step 6: Final answer
    x = 66,891.21

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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.