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Finding the Fourth Proportional to 48,712.84, 73,185.82 and 31,216.84

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Solution

The fourth proportional to 48,712.84, 73,185.82 and 31,216.84 is: 46,899.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,712.84 : 73,185.82 = 31,216.84 : x
  2. Step 2: Convert to fraction form
    48,712.84/73,185.82 = 31,216.84/x
  3. Step 3: Cross multiply
    48,712.84x = 73,185.82 × 31,216.84
  4. Step 4: Simplify right side
    48,712.84x = 2,284,630,033.21
  5. Step 5: Solve for x
    x = 2,284,630,033.21/48,712.84
  6. Step 6: Final answer
    x = 46,899.96

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1.5x scale

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.