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Finding the Fourth Proportional to 38,497.31, 53,122.83 and 21,499.19

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Solution

The fourth proportional to 38,497.31, 53,122.83 and 21,499.19 is: 29,666.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.31 : 53,122.83 = 21,499.19 : x
  2. Step 2: Convert to fraction form
    38,497.31/53,122.83 = 21,499.19/x
  3. Step 3: Cross multiply
    38,497.31x = 53,122.83 × 21,499.19
  4. Step 4: Simplify right side
    38,497.31x = 1,142,097,902.37
  5. Step 5: Solve for x
    x = 1,142,097,902.37/38,497.31
  6. Step 6: Final answer
    x = 29,666.95

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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.