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Finding the Fourth Proportional to 47,460.69, 65,434.89 and 30,433.98

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Solution

The fourth proportional to 47,460.69, 65,434.89 and 30,433.98 is: 41,959.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,460.69 : 65,434.89 = 30,433.98 : x
  2. Step 2: Convert to fraction form
    47,460.69/65,434.89 = 30,433.98/x
  3. Step 3: Cross multiply
    47,460.69x = 65,434.89 × 30,433.98
  4. Step 4: Simplify right side
    47,460.69x = 1,991,444,133.56
  5. Step 5: Solve for x
    x = 1,991,444,133.56/47,460.69
  6. Step 6: Final answer
    x = 41,959.86

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