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Finding the Fourth Proportional to 30,570.65, 42,169.58 and 19,222.16

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Solution

The fourth proportional to 30,570.65, 42,169.58 and 19,222.16 is: 26,515.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,570.65 : 42,169.58 = 19,222.16 : x
  2. Step 2: Convert to fraction form
    30,570.65/42,169.58 = 19,222.16/x
  3. Step 3: Cross multiply
    30,570.65x = 42,169.58 × 19,222.16
  4. Step 4: Simplify right side
    30,570.65x = 810,590,567.37
  5. Step 5: Solve for x
    x = 810,590,567.37/30,570.65
  6. Step 6: Final answer
    x = 26,515.32

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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.