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Finding the Fourth Proportional to 94,642.44, 142,051.14 and 47,928.12

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Solution

The fourth proportional to 94,642.44, 142,051.14 and 47,928.12 is: 71,936.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,642.44 : 142,051.14 = 47,928.12 : x
  2. Step 2: Convert to fraction form
    94,642.44/142,051.14 = 47,928.12/x
  3. Step 3: Cross multiply
    94,642.44x = 142,051.14 × 47,928.12
  4. Step 4: Simplify right side
    94,642.44x = 6,808,244,084.06
  5. Step 5: Solve for x
    x = 6,808,244,084.06/94,642.44
  6. Step 6: Final answer
    x = 71,936.48

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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.