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Finding the Fourth Proportional to 77,264.64, 115,896.69 and 27,347.58

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Solution

The fourth proportional to 77,264.64, 115,896.69 and 27,347.58 is: 41,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,264.64 : 115,896.69 = 27,347.58 : x
  2. Step 2: Convert to fraction form
    77,264.64/115,896.69 = 27,347.58/x
  3. Step 3: Cross multiply
    77,264.64x = 115,896.69 × 27,347.58
  4. Step 4: Simplify right side
    77,264.64x = 3,169,494,001.51
  5. Step 5: Solve for x
    x = 3,169,494,001.51/77,264.64
  6. Step 6: Final answer
    x = 41,021.27

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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.