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Finding the Fourth Proportional to 39,672.05, 54,748.32 and 21,767

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Solution

The fourth proportional to 39,672.05, 54,748.32 and 21,767 is: 30,038.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,672.05 : 54,748.32 = 21,767 : x
  2. Step 2: Convert to fraction form
    39,672.05/54,748.32 = 21,767/x
  3. Step 3: Cross multiply
    39,672.05x = 54,748.32 × 21,767
  4. Step 4: Simplify right side
    39,672.05x = 1,191,706,681.44
  5. Step 5: Solve for x
    x = 1,191,706,681.44/39,672.05
  6. Step 6: Final answer
    x = 30,038.95

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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.