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Finding the Fourth Proportional to 30,821.40, 42,530.76 and 18,882.36

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Solution

The fourth proportional to 30,821.40, 42,530.76 and 18,882.36 is: 26,055.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821.40 : 42,530.76 = 18,882.36 : x
  2. Step 2: Convert to fraction form
    30,821.40/42,530.76 = 18,882.36/x
  3. Step 3: Cross multiply
    30,821.40x = 42,530.76 × 18,882.36
  4. Step 4: Simplify right side
    30,821.40x = 803,081,121.39
  5. Step 5: Solve for x
    x = 803,081,121.39/30,821.40
  6. Step 6: Final answer
    x = 26,055.96

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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.