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Finding the Fourth Proportional to 79,413.96, 119,083.20 and 46,143.60

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Solution

The fourth proportional to 79,413.96, 119,083.20 and 46,143.60 is: 69,193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,413.96 : 119,083.20 = 46,143.60 : x
  2. Step 2: Convert to fraction form
    79,413.96/119,083.20 = 46,143.60/x
  3. Step 3: Cross multiply
    79,413.96x = 119,083.20 × 46,143.60
  4. Step 4: Simplify right side
    79,413.96x = 5,494,927,547.52
  5. Step 5: Solve for x
    x = 5,494,927,547.52/79,413.96
  6. Step 6: Final answer
    x = 69,193.47

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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.