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Finding the Fourth Proportional to 49,979, 74,972.82 and 13,043

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Solution

The fourth proportional to 49,979, 74,972.82 and 13,043 is: 19,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,979 : 74,972.82 = 13,043 : x
  2. Step 2: Convert to fraction form
    49,979/74,972.82 = 13,043/x
  3. Step 3: Cross multiply
    49,979x = 74,972.82 × 13,043
  4. Step 4: Simplify right side
    49,979x = 977,870,491.26
  5. Step 5: Solve for x
    x = 977,870,491.26/49,979
  6. Step 6: Final answer
    x = 19,565.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.