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Finding the Fourth Proportional to 27,232.58, 37,580.68 and 15,133

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Solution

The fourth proportional to 27,232.58, 37,580.68 and 15,133 is: 20,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,232.58 : 37,580.68 = 15,133 : x
  2. Step 2: Convert to fraction form
    27,232.58/37,580.68 = 15,133/x
  3. Step 3: Cross multiply
    27,232.58x = 37,580.68 × 15,133
  4. Step 4: Simplify right side
    27,232.58x = 568,708,430.44
  5. Step 5: Solve for x
    x = 568,708,430.44/27,232.58
  6. Step 6: Final answer
    x = 20,883.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.