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Finding the Fourth Proportional to 30,817.65, 42,525.09 and 22,755.54

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Solution

The fourth proportional to 30,817.65, 42,525.09 and 22,755.54 is: 31,400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,817.65 : 42,525.09 = 22,755.54 : x
  2. Step 2: Convert to fraction form
    30,817.65/42,525.09 = 22,755.54/x
  3. Step 3: Cross multiply
    30,817.65x = 42,525.09 × 22,755.54
  4. Step 4: Simplify right side
    30,817.65x = 967,681,386.50
  5. Step 5: Solve for x
    x = 967,681,386.50/30,817.65
  6. Step 6: Final answer
    x = 31,400.23

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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.