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Finding the Fourth Proportional to 60,074.82, 82,814.82 and 47,287.02

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Solution

The fourth proportional to 60,074.82, 82,814.82 and 47,287.02 is: 65,186.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,074.82 : 82,814.82 = 47,287.02 : x
  2. Step 2: Convert to fraction form
    60,074.82/82,814.82 = 47,287.02/x
  3. Step 3: Cross multiply
    60,074.82x = 82,814.82 × 47,287.02
  4. Step 4: Simplify right side
    60,074.82x = 3,916,066,049.64
  5. Step 5: Solve for x
    x = 3,916,066,049.64/60,074.82
  6. Step 6: Final answer
    x = 65,186.48

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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.