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Finding the Fourth Proportional to 27,762.57, 41,646.08 and 9,042.26

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Solution

The fourth proportional to 27,762.57, 41,646.08 and 9,042.26 is: 13,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.57 : 41,646.08 = 9,042.26 : x
  2. Step 2: Convert to fraction form
    27,762.57/41,646.08 = 9,042.26/x
  3. Step 3: Cross multiply
    27,762.57x = 41,646.08 × 9,042.26
  4. Step 4: Simplify right side
    27,762.57x = 376,574,497.72
  5. Step 5: Solve for x
    x = 376,574,497.72/27,762.57
  6. Step 6: Final answer
    x = 13,564.11

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Why These Related Problems?

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