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Finding the Fourth Proportional to 38,521.94, 53,164.22 and 27,775.67

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Solution

The fourth proportional to 38,521.94, 53,164.22 and 27,775.67 is: 38,333.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,521.94 : 53,164.22 = 27,775.67 : x
  2. Step 2: Convert to fraction form
    38,521.94/53,164.22 = 27,775.67/x
  3. Step 3: Cross multiply
    38,521.94x = 53,164.22 × 27,775.67
  4. Step 4: Simplify right side
    38,521.94x = 1,476,671,425.83
  5. Step 5: Solve for x
    x = 1,476,671,425.83/38,521.94
  6. Step 6: Final answer
    x = 38,333.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.