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Finding the Fourth Proportional to 49,191.36, 67,883.76 and 27,970.63

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Solution

The fourth proportional to 49,191.36, 67,883.76 and 27,970.63 is: 38,599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,191.36 : 67,883.76 = 27,970.63 : x
  2. Step 2: Convert to fraction form
    49,191.36/67,883.76 = 27,970.63/x
  3. Step 3: Cross multiply
    49,191.36x = 67,883.76 × 27,970.63
  4. Step 4: Simplify right side
    49,191.36x = 1,898,751,194.55
  5. Step 5: Solve for x
    x = 1,898,751,194.55/49,191.36
  6. Step 6: Final answer
    x = 38,599.28

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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.