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Finding the Fourth Proportional to 38,339.89, 52,907.75 and 21,569.65

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Solution

The fourth proportional to 38,339.89, 52,907.75 and 21,569.65 is: 29,765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,339.89 : 52,907.75 = 21,569.65 : x
  2. Step 2: Convert to fraction form
    38,339.89/52,907.75 = 21,569.65/x
  3. Step 3: Cross multiply
    38,339.89x = 52,907.75 × 21,569.65
  4. Step 4: Simplify right side
    38,339.89x = 1,141,201,409.67
  5. Step 5: Solve for x
    x = 1,141,201,409.67/38,339.89
  6. Step 6: Final answer
    x = 29,765.38

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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.