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Finding the Fourth Proportional to 30,488.36, 42,016.94 and 21,975.76

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Solution

The fourth proportional to 30,488.36, 42,016.94 and 21,975.76 is: 30,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,488.36 : 42,016.94 = 21,975.76 : x
  2. Step 2: Convert to fraction form
    30,488.36/42,016.94 = 21,975.76/x
  3. Step 3: Cross multiply
    30,488.36x = 42,016.94 × 21,975.76
  4. Step 4: Simplify right side
    30,488.36x = 923,354,079.50
  5. Step 5: Solve for x
    x = 923,354,079.50/30,488.36
  6. Step 6: Final answer
    x = 30,285.47

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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.