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Finding the Fourth Proportional to 38,199.74, 52,713 and 21,203.36

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Solution

The fourth proportional to 38,199.74, 52,713 and 21,203.36 is: 29,259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,199.74 : 52,713 = 21,203.36 : x
  2. Step 2: Convert to fraction form
    38,199.74/52,713 = 21,203.36/x
  3. Step 3: Cross multiply
    38,199.74x = 52,713 × 21,203.36
  4. Step 4: Simplify right side
    38,199.74x = 1,117,692,715.68
  5. Step 5: Solve for x
    x = 1,117,692,715.68/38,199.74
  6. Step 6: Final answer
    x = 29,259.17

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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.