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Finding the Fourth Proportional to 30,806.69, 46,208.82 and 21,419.06

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Solution

The fourth proportional to 30,806.69, 46,208.82 and 21,419.06 is: 32,127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,806.69 : 46,208.82 = 21,419.06 : x
  2. Step 2: Convert to fraction form
    30,806.69/46,208.82 = 21,419.06/x
  3. Step 3: Cross multiply
    30,806.69x = 46,208.82 × 21,419.06
  4. Step 4: Simplify right side
    30,806.69x = 989,749,488.11
  5. Step 5: Solve for x
    x = 989,749,488.11/30,806.69
  6. Step 6: Final answer
    x = 32,127.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.