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Finding the Fourth Proportional to 38,384.82, 52,970.94 and 21,389.22

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Solution

The fourth proportional to 38,384.82, 52,970.94 and 21,389.22 is: 29,517.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,384.82 : 52,970.94 = 21,389.22 : x
  2. Step 2: Convert to fraction form
    38,384.82/52,970.94 = 21,389.22/x
  3. Step 3: Cross multiply
    38,384.82x = 52,970.94 × 21,389.22
  4. Step 4: Simplify right side
    38,384.82x = 1,133,007,089.27
  5. Step 5: Solve for x
    x = 1,133,007,089.27/38,384.82
  6. Step 6: Final answer
    x = 29,517.06

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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.