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Finding the Fourth Proportional to 37,253.88, 55,905.44 and 17,538.07

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Solution

The fourth proportional to 37,253.88, 55,905.44 and 17,538.07 is: 26,318.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,253.88 : 55,905.44 = 17,538.07 : x
  2. Step 2: Convert to fraction form
    37,253.88/55,905.44 = 17,538.07/x
  3. Step 3: Cross multiply
    37,253.88x = 55,905.44 × 17,538.07
  4. Step 4: Simplify right side
    37,253.88x = 980,473,520.10
  5. Step 5: Solve for x
    x = 980,473,520.10/37,253.88
  6. Step 6: Final answer
    x = 26,318.70

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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.