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Finding the Fourth Proportional to 34,131.70, 47,130.84 and 21,406.30

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Solution

The fourth proportional to 34,131.70, 47,130.84 and 21,406.30 is: 29,558.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,131.70 : 47,130.84 = 21,406.30 : x
  2. Step 2: Convert to fraction form
    34,131.70/47,130.84 = 21,406.30/x
  3. Step 3: Cross multiply
    34,131.70x = 47,130.84 × 21,406.30
  4. Step 4: Simplify right side
    34,131.70x = 1,008,896,900.29
  5. Step 5: Solve for x
    x = 1,008,896,900.29/34,131.70
  6. Step 6: Final answer
    x = 29,558.94

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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.