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Finding the Fourth Proportional to 53,974, 80,973.96 and 17,038

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Solution

The fourth proportional to 53,974, 80,973.96 and 17,038 is: 25,561.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,974 : 80,973.96 = 17,038 : x
  2. Step 2: Convert to fraction form
    53,974/80,973.96 = 17,038/x
  3. Step 3: Cross multiply
    53,974x = 80,973.96 × 17,038
  4. Step 4: Simplify right side
    53,974x = 1,379,634,330.48
  5. Step 5: Solve for x
    x = 1,379,634,330.48/53,974
  6. Step 6: Final answer
    x = 25,561.09

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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.