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Finding the Fourth Proportional to 86,197.28, 118,953.68 and 47,959.84

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Solution

The fourth proportional to 86,197.28, 118,953.68 and 47,959.84 is: 66,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,197.28 : 118,953.68 = 47,959.84 : x
  2. Step 2: Convert to fraction form
    86,197.28/118,953.68 = 47,959.84/x
  3. Step 3: Cross multiply
    86,197.28x = 118,953.68 × 47,959.84
  4. Step 4: Simplify right side
    86,197.28x = 5,704,999,460.21
  5. Step 5: Solve for x
    x = 5,704,999,460.21/86,197.28
  6. Step 6: Final answer
    x = 66,185.38

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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.