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Finding the Fourth Proportional to 51,588.34, 77,367.50 and 19,991.36

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Solution

The fourth proportional to 51,588.34, 77,367.50 and 19,991.36 is: 29,981.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,588.34 : 77,367.50 = 19,991.36 : x
  2. Step 2: Convert to fraction form
    51,588.34/77,367.50 = 19,991.36/x
  3. Step 3: Cross multiply
    51,588.34x = 77,367.50 × 19,991.36
  4. Step 4: Simplify right side
    51,588.34x = 1,546,681,390.49
  5. Step 5: Solve for x
    x = 1,546,681,390.49/51,588.34
  6. Step 6: Final answer
    x = 29,981.22

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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.