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Finding the Fourth Proportional to 34,321.04, 51,470.60 and 10,942

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Solution

The fourth proportional to 34,321.04, 51,470.60 and 10,942 is: 16,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,321.04 : 51,470.60 = 10,942 : x
  2. Step 2: Convert to fraction form
    34,321.04/51,470.60 = 10,942/x
  3. Step 3: Cross multiply
    34,321.04x = 51,470.60 × 10,942
  4. Step 4: Simplify right side
    34,321.04x = 563,191,305.20
  5. Step 5: Solve for x
    x = 563,191,305.20/34,321.04
  6. Step 6: Final answer
    x = 16,409.51

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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.