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Finding the Fourth Proportional to 95,357.52, 142,880.76 and 48,546

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Solution

The fourth proportional to 95,357.52, 142,880.76 and 48,546 is: 72,739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,357.52 : 142,880.76 = 48,546 : x
  2. Step 2: Convert to fraction form
    95,357.52/142,880.76 = 48,546/x
  3. Step 3: Cross multiply
    95,357.52x = 142,880.76 × 48,546
  4. Step 4: Simplify right side
    95,357.52x = 6,936,289,374.96
  5. Step 5: Solve for x
    x = 6,936,289,374.96/95,357.52
  6. Step 6: Final answer
    x = 72,739.83

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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.