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Finding the Fourth Proportional to 31,459.15, 43,413.63 and 17,312

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Solution

The fourth proportional to 31,459.15, 43,413.63 and 17,312 is: 23,890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,459.15 : 43,413.63 = 17,312 : x
  2. Step 2: Convert to fraction form
    31,459.15/43,413.63 = 17,312/x
  3. Step 3: Cross multiply
    31,459.15x = 43,413.63 × 17,312
  4. Step 4: Simplify right side
    31,459.15x = 751,576,762.56
  5. Step 5: Solve for x
    x = 751,576,762.56/31,459.15
  6. Step 6: Final answer
    x = 23,890.57

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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.