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Finding the Fourth Proportional to 38,460.69, 53,074.31 and 21,464.73

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Solution

The fourth proportional to 38,460.69, 53,074.31 and 21,464.73 is: 29,620.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,460.69 : 53,074.31 = 21,464.73 : x
  2. Step 2: Convert to fraction form
    38,460.69/53,074.31 = 21,464.73/x
  3. Step 3: Cross multiply
    38,460.69x = 53,074.31 × 21,464.73
  4. Step 4: Simplify right side
    38,460.69x = 1,139,225,626.76
  5. Step 5: Solve for x
    x = 1,139,225,626.76/38,460.69
  6. Step 6: Final answer
    x = 29,620.52

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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.