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Finding the Fourth Proportional to 94,805.64, 142,286.22 and 48,071.88

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Solution

The fourth proportional to 94,805.64, 142,286.22 and 48,071.88 is: 72,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,805.64 : 142,286.22 = 48,071.88 : x
  2. Step 2: Convert to fraction form
    94,805.64/142,286.22 = 48,071.88/x
  3. Step 3: Cross multiply
    94,805.64x = 142,286.22 × 48,071.88
  4. Step 4: Simplify right side
    94,805.64x = 6,839,966,093.49
  5. Step 5: Solve for x
    x = 6,839,966,093.49/94,805.64
  6. Step 6: Final answer
    x = 72,147.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.