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Finding the Fourth Proportional to 78,424.80, 117,464.40 and 47,205.60

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Solution

The fourth proportional to 78,424.80, 117,464.40 and 47,205.60 is: 70,704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,424.80 : 117,464.40 = 47,205.60 : x
  2. Step 2: Convert to fraction form
    78,424.80/117,464.40 = 47,205.60/x
  3. Step 3: Cross multiply
    78,424.80x = 117,464.40 × 47,205.60
  4. Step 4: Simplify right side
    78,424.80x = 5,544,977,480.64
  5. Step 5: Solve for x
    x = 5,544,977,480.64/78,424.80
  6. Step 6: Final answer
    x = 70,704.39

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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.