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Finding the Fourth Proportional to 36,782.35, 55,130.31 and 17,019.16

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Solution

The fourth proportional to 36,782.35, 55,130.31 and 17,019.16 is: 25,508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,782.35 : 55,130.31 = 17,019.16 : x
  2. Step 2: Convert to fraction form
    36,782.35/55,130.31 = 17,019.16/x
  3. Step 3: Cross multiply
    36,782.35x = 55,130.31 × 17,019.16
  4. Step 4: Simplify right side
    36,782.35x = 938,271,566.74
  5. Step 5: Solve for x
    x = 938,271,566.74/36,782.35
  6. Step 6: Final answer
    x = 25,508.74

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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.