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Finding the Fourth Proportional to 37,000, 55,491.84 and 17,268.16

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Solution

The fourth proportional to 37,000, 55,491.84 and 17,268.16 is: 25,898.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,000 : 55,491.84 = 17,268.16 : x
  2. Step 2: Convert to fraction form
    37,000/55,491.84 = 17,268.16/x
  3. Step 3: Cross multiply
    37,000x = 55,491.84 × 17,268.16
  4. Step 4: Simplify right side
    37,000x = 958,241,971.81
  5. Step 5: Solve for x
    x = 958,241,971.81/37,000
  6. Step 6: Final answer
    x = 25,898.43

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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.