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Finding the Fourth Proportional to 30,238.72, 41,718.16 and 22,300

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Solution

The fourth proportional to 30,238.72, 41,718.16 and 22,300 is: 30,765.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,238.72 : 41,718.16 = 22,300 : x
  2. Step 2: Convert to fraction form
    30,238.72/41,718.16 = 22,300/x
  3. Step 3: Cross multiply
    30,238.72x = 41,718.16 × 22,300
  4. Step 4: Simplify right side
    30,238.72x = 930,314,968.00
  5. Step 5: Solve for x
    x = 930,314,968.00/30,238.72
  6. Step 6: Final answer
    x = 30,765.69

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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.