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Finding the Fourth Proportional to 51,588.01, 71,189.97 and 31,437.53

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Solution

The fourth proportional to 51,588.01, 71,189.97 and 31,437.53 is: 43,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,588.01 : 71,189.97 = 31,437.53 : x
  2. Step 2: Convert to fraction form
    51,588.01/71,189.97 = 31,437.53/x
  3. Step 3: Cross multiply
    51,588.01x = 71,189.97 × 31,437.53
  4. Step 4: Simplify right side
    51,588.01x = 2,238,036,817.57
  5. Step 5: Solve for x
    x = 2,238,036,817.57/51,588.01
  6. Step 6: Final answer
    x = 43,382.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.