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Finding the Fourth Proportional to 38,825.84, 58,238.76 and 18,038

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Solution

The fourth proportional to 38,825.84, 58,238.76 and 18,038 is: 27,057.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,825.84 : 58,238.76 = 18,038 : x
  2. Step 2: Convert to fraction form
    38,825.84/58,238.76 = 18,038/x
  3. Step 3: Cross multiply
    38,825.84x = 58,238.76 × 18,038
  4. Step 4: Simplify right side
    38,825.84x = 1,050,510,752.88
  5. Step 5: Solve for x
    x = 1,050,510,752.88/38,825.84
  6. Step 6: Final answer
    x = 27,057.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.