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Finding the Fourth Proportional to 49,658.64, 74,455.08 and 19,653

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Solution

The fourth proportional to 49,658.64, 74,455.08 and 19,653 is: 29,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,658.64 : 74,455.08 = 19,653 : x
  2. Step 2: Convert to fraction form
    49,658.64/74,455.08 = 19,653/x
  3. Step 3: Cross multiply
    49,658.64x = 74,455.08 × 19,653
  4. Step 4: Simplify right side
    49,658.64x = 1,463,265,687.24
  5. Step 5: Solve for x
    x = 1,463,265,687.24/49,658.64
  6. Step 6: Final answer
    x = 29,466.49

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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.