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Finding the Fourth Proportional to 36,980.64, 55,461 and 17,239.92

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Solution

The fourth proportional to 36,980.64, 55,461 and 17,239.92 is: 25,855.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,980.64 : 55,461 = 17,239.92 : x
  2. Step 2: Convert to fraction form
    36,980.64/55,461 = 17,239.92/x
  3. Step 3: Cross multiply
    36,980.64x = 55,461 × 17,239.92
  4. Step 4: Simplify right side
    36,980.64x = 956,143,203.12
  5. Step 5: Solve for x
    x = 956,143,203.12/36,980.64
  6. Step 6: Final answer
    x = 25,855.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.