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Finding the Fourth Proportional to 38,546.74, 53,193.81 and 21,779.38

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Solution

The fourth proportional to 38,546.74, 53,193.81 and 21,779.38 is: 30,055.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,546.74 : 53,193.81 = 21,779.38 : x
  2. Step 2: Convert to fraction form
    38,546.74/53,193.81 = 21,779.38/x
  3. Step 3: Cross multiply
    38,546.74x = 53,193.81 × 21,779.38
  4. Step 4: Simplify right side
    38,546.74x = 1,158,528,201.64
  5. Step 5: Solve for x
    x = 1,158,528,201.64/38,546.74
  6. Step 6: Final answer
    x = 30,055.15

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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.