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Finding the Fourth Proportional to 38,464.97, 53,023.50 and 29,952.07

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Solution

The fourth proportional to 38,464.97, 53,023.50 and 29,952.07 is: 41,288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,464.97 : 53,023.50 = 29,952.07 : x
  2. Step 2: Convert to fraction form
    38,464.97/53,023.50 = 29,952.07/x
  3. Step 3: Cross multiply
    38,464.97x = 53,023.50 × 29,952.07
  4. Step 4: Simplify right side
    38,464.97x = 1,588,163,451.09
  5. Step 5: Solve for x
    x = 1,588,163,451.09/38,464.97
  6. Step 6: Final answer
    x = 41,288.57

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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.