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Finding the Fourth Proportional to 38,255.52, 52,802.64 and 21,493.92

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Solution

The fourth proportional to 38,255.52, 52,802.64 and 21,493.92 is: 29,667.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,255.52 : 52,802.64 = 21,493.92 : x
  2. Step 2: Convert to fraction form
    38,255.52/52,802.64 = 21,493.92/x
  3. Step 3: Cross multiply
    38,255.52x = 52,802.64 × 21,493.92
  4. Step 4: Simplify right side
    38,255.52x = 1,134,935,719.95
  5. Step 5: Solve for x
    x = 1,134,935,719.95/38,255.52
  6. Step 6: Final answer
    x = 29,667.24

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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.