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Finding the Fourth Proportional to 92,206.17, 127,247.42 and 53,969.51

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Solution

The fourth proportional to 92,206.17, 127,247.42 and 53,969.51 is: 74,479.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,206.17 : 127,247.42 = 53,969.51 : x
  2. Step 2: Convert to fraction form
    92,206.17/127,247.42 = 53,969.51/x
  3. Step 3: Cross multiply
    92,206.17x = 127,247.42 × 53,969.51
  4. Step 4: Simplify right side
    92,206.17x = 6,867,481,359.21
  5. Step 5: Solve for x
    x = 6,867,481,359.21/92,206.17
  6. Step 6: Final answer
    x = 74,479.63

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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.