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Finding the Fourth Proportional to 38,774.97, 53,509.47 and 21,779.24

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Solution

The fourth proportional to 38,774.97, 53,509.47 and 21,779.24 is: 30,055.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,774.97 : 53,509.47 = 21,779.24 : x
  2. Step 2: Convert to fraction form
    38,774.97/53,509.47 = 21,779.24/x
  3. Step 3: Cross multiply
    38,774.97x = 53,509.47 × 21,779.24
  4. Step 4: Simplify right side
    38,774.97x = 1,165,395,589.40
  5. Step 5: Solve for x
    x = 1,165,395,589.40/38,774.97
  6. Step 6: Final answer
    x = 30,055.36

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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.