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Finding the Fourth Proportional to 38,442.06, 53,050.05 and 21,675.06

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Solution

The fourth proportional to 38,442.06, 53,050.05 and 21,675.06 is: 29,911.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,442.06 : 53,050.05 = 21,675.06 : x
  2. Step 2: Convert to fraction form
    38,442.06/53,050.05 = 21,675.06/x
  3. Step 3: Cross multiply
    38,442.06x = 53,050.05 × 21,675.06
  4. Step 4: Simplify right side
    38,442.06x = 1,149,863,016.75
  5. Step 5: Solve for x
    x = 1,149,863,016.75/38,442.06
  6. Step 6: Final answer
    x = 29,911.59

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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.