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Finding the Fourth Proportional to 123,533.54, 185,269.32 and 47,616.84

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Solution

The fourth proportional to 123,533.54, 185,269.32 and 47,616.84 is: 71,413.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,533.54 : 185,269.32 = 47,616.84 : x
  2. Step 2: Convert to fraction form
    123,533.54/185,269.32 = 47,616.84/x
  3. Step 3: Cross multiply
    123,533.54x = 185,269.32 × 47,616.84
  4. Step 4: Simplify right side
    123,533.54x = 8,821,939,567.35
  5. Step 5: Solve for x
    x = 8,821,939,567.35/123,533.54
  6. Step 6: Final answer
    x = 71,413.31

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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.