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Finding the Fourth Proportional to 38,296.64, 52,833.12 and 23,384

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Solution

The fourth proportional to 38,296.64, 52,833.12 and 23,384 is: 32,260.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,296.64 : 52,833.12 = 23,384 : x
  2. Step 2: Convert to fraction form
    38,296.64/52,833.12 = 23,384/x
  3. Step 3: Cross multiply
    38,296.64x = 52,833.12 × 23,384
  4. Step 4: Simplify right side
    38,296.64x = 1,235,449,678.08
  5. Step 5: Solve for x
    x = 1,235,449,678.08/38,296.64
  6. Step 6: Final answer
    x = 32,260.00

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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.