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Finding the Fourth Proportional to 49,344.32, 73,974.96 and 19,746

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Solution

The fourth proportional to 49,344.32, 73,974.96 and 19,746 is: 29,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,344.32 : 73,974.96 = 19,746 : x
  2. Step 2: Convert to fraction form
    49,344.32/73,974.96 = 19,746/x
  3. Step 3: Cross multiply
    49,344.32x = 73,974.96 × 19,746
  4. Step 4: Simplify right side
    49,344.32x = 1,460,709,560.16
  5. Step 5: Solve for x
    x = 1,460,709,560.16/49,344.32
  6. Step 6: Final answer
    x = 29,602.38

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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.