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Finding the Fourth Proportional to 101,413.32, 152,140.26 and 31,290

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Solution

The fourth proportional to 101,413.32, 152,140.26 and 31,290 is: 46,941.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,413.32 : 152,140.26 = 31,290 : x
  2. Step 2: Convert to fraction form
    101,413.32/152,140.26 = 31,290/x
  3. Step 3: Cross multiply
    101,413.32x = 152,140.26 × 31,290
  4. Step 4: Simplify right side
    101,413.32x = 4,760,468,735.40
  5. Step 5: Solve for x
    x = 4,760,468,735.40/101,413.32
  6. Step 6: Final answer
    x = 46,941.26

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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.