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Finding the Fourth Proportional to 49,495.10, 68,302.40 and 27,984.50

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Solution

The fourth proportional to 49,495.10, 68,302.40 and 27,984.50 is: 38,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,495.10 : 68,302.40 = 27,984.50 : x
  2. Step 2: Convert to fraction form
    49,495.10/68,302.40 = 27,984.50/x
  3. Step 3: Cross multiply
    49,495.10x = 68,302.40 × 27,984.50
  4. Step 4: Simplify right side
    49,495.10x = 1,911,408,512.80
  5. Step 5: Solve for x
    x = 1,911,408,512.80/49,495.10
  6. Step 6: Final answer
    x = 38,618.14

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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.