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Finding the Fourth Proportional to 38,460.96, 53,074.62 and 21,464.37

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Solution

The fourth proportional to 38,460.96, 53,074.62 and 21,464.37 is: 29,619.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,460.96 : 53,074.62 = 21,464.37 : x
  2. Step 2: Convert to fraction form
    38,460.96/53,074.62 = 21,464.37/x
  3. Step 3: Cross multiply
    38,460.96x = 53,074.62 × 21,464.37
  4. Step 4: Simplify right side
    38,460.96x = 1,139,213,281.29
  5. Step 5: Solve for x
    x = 1,139,213,281.29/38,460.96
  6. Step 6: Final answer
    x = 29,619.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.