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Finding the Fourth Proportional to 53,410.85, 80,117.91 and 18,350

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Solution

The fourth proportional to 53,410.85, 80,117.91 and 18,350 is: 27,525.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,410.85 : 80,117.91 = 18,350 : x
  2. Step 2: Convert to fraction form
    53,410.85/80,117.91 = 18,350/x
  3. Step 3: Cross multiply
    53,410.85x = 80,117.91 × 18,350
  4. Step 4: Simplify right side
    53,410.85x = 1,470,163,648.50
  5. Step 5: Solve for x
    x = 1,470,163,648.50/53,410.85
  6. Step 6: Final answer
    x = 27,525.56

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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.