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Finding the Fourth Proportional to 38,482.80, 53,078.04 and 27,890.16

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Solution

The fourth proportional to 38,482.80, 53,078.04 and 27,890.16 is: 38,467.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,482.80 : 53,078.04 = 27,890.16 : x
  2. Step 2: Convert to fraction form
    38,482.80/53,078.04 = 27,890.16/x
  3. Step 3: Cross multiply
    38,482.80x = 53,078.04 × 27,890.16
  4. Step 4: Simplify right side
    38,482.80x = 1,480,355,028.09
  5. Step 5: Solve for x
    x = 1,480,355,028.09/38,482.80
  6. Step 6: Final answer
    x = 38,467.97

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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.