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Finding the Fourth Proportional to 47,965.72, 71,466.32 and 45,283

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Solution

The fourth proportional to 47,965.72, 71,466.32 and 45,283 is: 67,469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,965.72 : 71,466.32 = 45,283 : x
  2. Step 2: Convert to fraction form
    47,965.72/71,466.32 = 45,283/x
  3. Step 3: Cross multiply
    47,965.72x = 71,466.32 × 45,283
  4. Step 4: Simplify right side
    47,965.72x = 3,236,209,368.56
  5. Step 5: Solve for x
    x = 3,236,209,368.56/47,965.72
  6. Step 6: Final answer
    x = 67,469.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.