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Finding the Fourth Proportional to 53,413.83, 73,699.02 and 31,899.67

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Solution

The fourth proportional to 53,413.83, 73,699.02 and 31,899.67 is: 44,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,413.83 : 73,699.02 = 31,899.67 : x
  2. Step 2: Convert to fraction form
    53,413.83/73,699.02 = 31,899.67/x
  3. Step 3: Cross multiply
    53,413.83x = 73,699.02 × 31,899.67
  4. Step 4: Simplify right side
    53,413.83x = 2,350,974,233.08
  5. Step 5: Solve for x
    x = 2,350,974,233.08/53,413.83
  6. Step 6: Final answer
    x = 44,014.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.