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Finding the Fourth Proportional to 76,203.38, 105,212.01 and 47,566.64

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Solution

The fourth proportional to 76,203.38, 105,212.01 and 47,566.64 is: 65,674.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,203.38 : 105,212.01 = 47,566.64 : x
  2. Step 2: Convert to fraction form
    76,203.38/105,212.01 = 47,566.64/x
  3. Step 3: Cross multiply
    76,203.38x = 105,212.01 × 47,566.64
  4. Step 4: Simplify right side
    76,203.38x = 5,004,582,244.75
  5. Step 5: Solve for x
    x = 5,004,582,244.75/76,203.38
  6. Step 6: Final answer
    x = 65,674.02

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Why These Related Problems?

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