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Finding the Fourth Proportional to 30,882.83, 42,708.01 and 30,322.07

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Solution

The fourth proportional to 30,882.83, 42,708.01 and 30,322.07 is: 41,932.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882.83 : 42,708.01 = 30,322.07 : x
  2. Step 2: Convert to fraction form
    30,882.83/42,708.01 = 30,322.07/x
  3. Step 3: Cross multiply
    30,882.83x = 42,708.01 × 30,322.07
  4. Step 4: Simplify right side
    30,882.83x = 1,294,995,316.56
  5. Step 5: Solve for x
    x = 1,294,995,316.56/30,882.83
  6. Step 6: Final answer
    x = 41,932.53

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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.