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Finding the Fourth Proportional to 31,420.40, 43,359.85 and 23,389.97

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Solution

The fourth proportional to 31,420.40, 43,359.85 and 23,389.97 is: 32,277.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,420.40 : 43,359.85 = 23,389.97 : x
  2. Step 2: Convert to fraction form
    31,420.40/43,359.85 = 23,389.97/x
  3. Step 3: Cross multiply
    31,420.40x = 43,359.85 × 23,389.97
  4. Step 4: Simplify right side
    31,420.40x = 1,014,185,423.83
  5. Step 5: Solve for x
    x = 1,014,185,423.83/31,420.40
  6. Step 6: Final answer
    x = 32,277.93

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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.