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Finding the Fourth Proportional to 109,605.49, 164,413.02 and 34,731.15

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Solution

The fourth proportional to 109,605.49, 164,413.02 and 34,731.15 is: 52,098.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,605.49 : 164,413.02 = 34,731.15 : x
  2. Step 2: Convert to fraction form
    109,605.49/164,413.02 = 34,731.15/x
  3. Step 3: Cross multiply
    109,605.49x = 164,413.02 × 34,731.15
  4. Step 4: Simplify right side
    109,605.49x = 5,710,253,670.61
  5. Step 5: Solve for x
    x = 5,710,253,670.61/109,605.49
  6. Step 6: Final answer
    x = 52,098.24

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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.