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Finding the Fourth Proportional to 38,466.08, 53,081.14 and 21,698

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Solution

The fourth proportional to 38,466.08, 53,081.14 and 21,698 is: 29,942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,466.08 : 53,081.14 = 21,698 : x
  2. Step 2: Convert to fraction form
    38,466.08/53,081.14 = 21,698/x
  3. Step 3: Cross multiply
    38,466.08x = 53,081.14 × 21,698
  4. Step 4: Simplify right side
    38,466.08x = 1,151,754,575.72
  5. Step 5: Solve for x
    x = 1,151,754,575.72/38,466.08
  6. Step 6: Final answer
    x = 29,942.08

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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.