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Finding the Fourth Proportional to 47,730.72, 71,116.44 and 45,048

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Solution

The fourth proportional to 47,730.72, 71,116.44 and 45,048 is: 67,119.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,730.72 : 71,116.44 = 45,048 : x
  2. Step 2: Convert to fraction form
    47,730.72/71,116.44 = 45,048/x
  3. Step 3: Cross multiply
    47,730.72x = 71,116.44 × 45,048
  4. Step 4: Simplify right side
    47,730.72x = 3,203,653,389.12
  5. Step 5: Solve for x
    x = 3,203,653,389.12/47,730.72
  6. Step 6: Final answer
    x = 67,119.32

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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.