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Finding the Fourth Proportional to 49,492.76, 68,295.96 and 27,984.38

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Solution

The fourth proportional to 49,492.76, 68,295.96 and 27,984.38 is: 38,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,492.76 : 68,295.96 = 27,984.38 : x
  2. Step 2: Convert to fraction form
    49,492.76/68,295.96 = 27,984.38/x
  3. Step 3: Cross multiply
    49,492.76x = 68,295.96 × 27,984.38
  4. Step 4: Simplify right side
    49,492.76x = 1,911,220,097.10
  5. Step 5: Solve for x
    x = 1,911,220,097.10/49,492.76
  6. Step 6: Final answer
    x = 38,616.16

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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.