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Finding the Fourth Proportional to 51,811.25, 71,502.14 and 30,590.06

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Solution

The fourth proportional to 51,811.25, 71,502.14 and 30,590.06 is: 42,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,811.25 : 71,502.14 = 30,590.06 : x
  2. Step 2: Convert to fraction form
    51,811.25/71,502.14 = 30,590.06/x
  3. Step 3: Cross multiply
    51,811.25x = 71,502.14 × 30,590.06
  4. Step 4: Simplify right side
    51,811.25x = 2,187,254,471.69
  5. Step 5: Solve for x
    x = 2,187,254,471.69/51,811.25
  6. Step 6: Final answer
    x = 42,215.83

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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.