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Finding the Fourth Proportional to 49,064, 67,716 and 29,203.52

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Solution

The fourth proportional to 49,064, 67,716 and 29,203.52 is: 40,305.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,064 : 67,716 = 29,203.52 : x
  2. Step 2: Convert to fraction form
    49,064/67,716 = 29,203.52/x
  3. Step 3: Cross multiply
    49,064x = 67,716 × 29,203.52
  4. Step 4: Simplify right side
    49,064x = 1,977,545,560.32
  5. Step 5: Solve for x
    x = 1,977,545,560.32/49,064
  6. Step 6: Final answer
    x = 40,305.43

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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.