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Finding the Fourth Proportional to 31,475.40, 43,413.22 and 21,386.20

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Solution

The fourth proportional to 31,475.40, 43,413.22 and 21,386.20 is: 29,497.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,475.40 : 43,413.22 = 21,386.20 : x
  2. Step 2: Convert to fraction form
    31,475.40/43,413.22 = 21,386.20/x
  3. Step 3: Cross multiply
    31,475.40x = 43,413.22 × 21,386.20
  4. Step 4: Simplify right side
    31,475.40x = 928,443,805.56
  5. Step 5: Solve for x
    x = 928,443,805.56/31,475.40
  6. Step 6: Final answer
    x = 29,497.44

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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.