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Finding the Fourth Proportional to 48,752.94, 67,240.83 and 31,762.53

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Solution

The fourth proportional to 48,752.94, 67,240.83 and 31,762.53 is: 43,807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,752.94 : 67,240.83 = 31,762.53 : x
  2. Step 2: Convert to fraction form
    48,752.94/67,240.83 = 31,762.53/x
  3. Step 3: Cross multiply
    48,752.94x = 67,240.83 × 31,762.53
  4. Step 4: Simplify right side
    48,752.94x = 2,135,738,999.21
  5. Step 5: Solve for x
    x = 2,135,738,999.21/48,752.94
  6. Step 6: Final answer
    x = 43,807.39

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Why These Related Problems?

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