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Finding the Fourth Proportional to 94,354.70, 141,415.41 and 47,582.06

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Solution

The fourth proportional to 94,354.70, 141,415.41 and 47,582.06 is: 71,314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,354.70 : 141,415.41 = 47,582.06 : x
  2. Step 2: Convert to fraction form
    94,354.70/141,415.41 = 47,582.06/x
  3. Step 3: Cross multiply
    94,354.70x = 141,415.41 × 47,582.06
  4. Step 4: Simplify right side
    94,354.70x = 6,728,836,523.54
  5. Step 5: Solve for x
    x = 6,728,836,523.54/94,354.70
  6. Step 6: Final answer
    x = 71,314.27

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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.