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Finding the Fourth Proportional to 27,430.26, 37,850.67 and 15,491.40

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Solution

The fourth proportional to 27,430.26, 37,850.67 and 15,491.40 is: 21,376.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,430.26 : 37,850.67 = 15,491.40 : x
  2. Step 2: Convert to fraction form
    27,430.26/37,850.67 = 15,491.40/x
  3. Step 3: Cross multiply
    27,430.26x = 37,850.67 × 15,491.40
  4. Step 4: Simplify right side
    27,430.26x = 586,359,869.24
  5. Step 5: Solve for x
    x = 586,359,869.24/27,430.26
  6. Step 6: Final answer
    x = 21,376.39

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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.