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Finding the Fourth Proportional to 38,907.15, 53,689.88 and 21,914.16

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Solution

The fourth proportional to 38,907.15, 53,689.88 and 21,914.16 is: 30,240.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,907.15 : 53,689.88 = 21,914.16 : x
  2. Step 2: Convert to fraction form
    38,907.15/53,689.88 = 21,914.16/x
  3. Step 3: Cross multiply
    38,907.15x = 53,689.88 × 21,914.16
  4. Step 4: Simplify right side
    38,907.15x = 1,176,568,511.13
  5. Step 5: Solve for x
    x = 1,176,568,511.13/38,907.15
  6. Step 6: Final answer
    x = 30,240.42

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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.