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Finding the Fourth Proportional to 101,526.84, 152,297.94 and 31,413.24

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Solution

The fourth proportional to 101,526.84, 152,297.94 and 31,413.24 is: 47,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,526.84 : 152,297.94 = 31,413.24 : x
  2. Step 2: Convert to fraction form
    101,526.84/152,297.94 = 31,413.24/x
  3. Step 3: Cross multiply
    101,526.84x = 152,297.94 × 31,413.24
  4. Step 4: Simplify right side
    101,526.84x = 4,784,171,740.73
  5. Step 5: Solve for x
    x = 4,784,171,740.73/101,526.84
  6. Step 6: Final answer
    x = 47,122.24

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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.