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Finding the Fourth Proportional to 27,772.64, 41,663.28 and 9,048.32

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Solution

The fourth proportional to 27,772.64, 41,663.28 and 9,048.32 is: 13,573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.64 : 41,663.28 = 9,048.32 : x
  2. Step 2: Convert to fraction form
    27,772.64/41,663.28 = 9,048.32/x
  3. Step 3: Cross multiply
    27,772.64x = 41,663.28 × 9,048.32
  4. Step 4: Simplify right side
    27,772.64x = 376,982,712.31
  5. Step 5: Solve for x
    x = 376,982,712.31/27,772.64
  6. Step 6: Final answer
    x = 13,573.89

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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.