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Finding the Fourth Proportional to 49,488, 68,294.40 and 29,616

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Solution

The fourth proportional to 49,488, 68,294.40 and 29,616 is: 40,870.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,488 : 68,294.40 = 29,616 : x
  2. Step 2: Convert to fraction form
    49,488/68,294.40 = 29,616/x
  3. Step 3: Cross multiply
    49,488x = 68,294.40 × 29,616
  4. Step 4: Simplify right side
    49,488x = 2,022,606,950.40
  5. Step 5: Solve for x
    x = 2,022,606,950.40/49,488
  6. Step 6: Final answer
    x = 40,870.65

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