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Finding the Fourth Proportional to 78,570, 117,858.66 and 22,413.96

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Solution

The fourth proportional to 78,570, 117,858.66 and 22,413.96 is: 33,621.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,570 : 117,858.66 = 22,413.96 : x
  2. Step 2: Convert to fraction form
    78,570/117,858.66 = 22,413.96/x
  3. Step 3: Cross multiply
    78,570x = 117,858.66 × 22,413.96
  4. Step 4: Simplify right side
    78,570x = 2,641,679,290.89
  5. Step 5: Solve for x
    x = 2,641,679,290.89/78,570
  6. Step 6: Final answer
    x = 33,621.98

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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.