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Finding the Fourth Proportional to 38,689, 53,390.82 and 21,025

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Solution

The fourth proportional to 38,689, 53,390.82 and 21,025 is: 29,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,689 : 53,390.82 = 21,025 : x
  2. Step 2: Convert to fraction form
    38,689/53,390.82 = 21,025/x
  3. Step 3: Cross multiply
    38,689x = 53,390.82 × 21,025
  4. Step 4: Simplify right side
    38,689x = 1,122,541,990.50
  5. Step 5: Solve for x
    x = 1,122,541,990.50/38,689
  6. Step 6: Final answer
    x = 29,014.50

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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.