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Finding the Fourth Proportional to 27,762.18, 41,643.60 and 9,042.30

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Solution

The fourth proportional to 27,762.18, 41,643.60 and 9,042.30 is: 13,563.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.18 : 41,643.60 = 9,042.30 : x
  2. Step 2: Convert to fraction form
    27,762.18/41,643.60 = 9,042.30/x
  3. Step 3: Cross multiply
    27,762.18x = 41,643.60 × 9,042.30
  4. Step 4: Simplify right side
    27,762.18x = 376,553,924.28
  5. Step 5: Solve for x
    x = 376,553,924.28/27,762.18
  6. Step 6: Final answer
    x = 13,563.56

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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.