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Finding the Fourth Proportional to 47,505.87, 71,369.10 and 44,955

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Solution

The fourth proportional to 47,505.87, 71,369.10 and 44,955 is: 67,536.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,505.87 : 71,369.10 = 44,955 : x
  2. Step 2: Convert to fraction form
    47,505.87/71,369.10 = 44,955/x
  3. Step 3: Cross multiply
    47,505.87x = 71,369.10 × 44,955
  4. Step 4: Simplify right side
    47,505.87x = 3,208,397,890.50
  5. Step 5: Solve for x
    x = 3,208,397,890.50/47,505.87
  6. Step 6: Final answer
    x = 67,536.87

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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.