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Finding the Fourth Proportional to 51,588.81, 71,191.07 and 31,438.34

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Solution

The fourth proportional to 51,588.81, 71,191.07 and 31,438.34 is: 43,384.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,588.81 : 71,191.07 = 31,438.34 : x
  2. Step 2: Convert to fraction form
    51,588.81/71,191.07 = 31,438.34/x
  3. Step 3: Cross multiply
    51,588.81x = 71,191.07 × 31,438.34
  4. Step 4: Simplify right side
    51,588.81x = 2,238,128,786.26
  5. Step 5: Solve for x
    x = 2,238,128,786.26/51,588.81
  6. Step 6: Final answer
    x = 43,384.00

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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.