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Finding the Fourth Proportional to 78,467.17, 108,283.44 and 42,658.09

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Solution

The fourth proportional to 78,467.17, 108,283.44 and 42,658.09 is: 58,867.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,467.17 : 108,283.44 = 42,658.09 : x
  2. Step 2: Convert to fraction form
    78,467.17/108,283.44 = 42,658.09/x
  3. Step 3: Cross multiply
    78,467.17x = 108,283.44 × 42,658.09
  4. Step 4: Simplify right side
    78,467.17x = 4,619,164,729.03
  5. Step 5: Solve for x
    x = 4,619,164,729.03/78,467.17
  6. Step 6: Final answer
    x = 58,867.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.