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Finding the Fourth Proportional to 78,588.78, 117,883.26 and 19,423.50

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Solution

The fourth proportional to 78,588.78, 117,883.26 and 19,423.50 is: 29,135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,588.78 : 117,883.26 = 19,423.50 : x
  2. Step 2: Convert to fraction form
    78,588.78/117,883.26 = 19,423.50/x
  3. Step 3: Cross multiply
    78,588.78x = 117,883.26 × 19,423.50
  4. Step 4: Simplify right side
    78,588.78x = 2,289,705,500.61
  5. Step 5: Solve for x
    x = 2,289,705,500.61/78,588.78
  6. Step 6: Final answer
    x = 29,135.27

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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.