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Finding the Fourth Proportional to 98,413.36, 147,643.48 and 31,853.50

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Solution

The fourth proportional to 98,413.36, 147,643.48 and 31,853.50 is: 47,787.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,413.36 : 147,643.48 = 31,853.50 : x
  2. Step 2: Convert to fraction form
    98,413.36/147,643.48 = 31,853.50/x
  3. Step 3: Cross multiply
    98,413.36x = 147,643.48 × 31,853.50
  4. Step 4: Simplify right side
    98,413.36x = 4,702,961,879.65
  5. Step 5: Solve for x
    x = 4,702,961,879.65/98,413.36
  6. Step 6: Final answer
    x = 47,787.84

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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.