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Finding the Fourth Proportional to 36,717.83, 55,078.83 and 10,420.50

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Solution

The fourth proportional to 36,717.83, 55,078.83 and 10,420.50 is: 15,631.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,717.83 : 55,078.83 = 10,420.50 : x
  2. Step 2: Convert to fraction form
    36,717.83/55,078.83 = 10,420.50/x
  3. Step 3: Cross multiply
    36,717.83x = 55,078.83 × 10,420.50
  4. Step 4: Simplify right side
    36,717.83x = 573,948,948.02
  5. Step 5: Solve for x
    x = 573,948,948.02/36,717.83
  6. Step 6: Final answer
    x = 15,631.34

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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.