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Finding the Fourth Proportional to 38,874.02, 53,646.37 and 21,878.60

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Solution

The fourth proportional to 38,874.02, 53,646.37 and 21,878.60 is: 30,192.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,874.02 : 53,646.37 = 21,878.60 : x
  2. Step 2: Convert to fraction form
    38,874.02/53,646.37 = 21,878.60/x
  3. Step 3: Cross multiply
    38,874.02x = 53,646.37 × 21,878.60
  4. Step 4: Simplify right side
    38,874.02x = 1,173,707,093.06
  5. Step 5: Solve for x
    x = 1,173,707,093.06/38,874.02
  6. Step 6: Final answer
    x = 30,192.59

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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.