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Finding the Fourth Proportional to 34,276.64, 51,379.96 and 19,454.24

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Solution

The fourth proportional to 34,276.64, 51,379.96 and 19,454.24 is: 29,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,276.64 : 51,379.96 = 19,454.24 : x
  2. Step 2: Convert to fraction form
    34,276.64/51,379.96 = 19,454.24/x
  3. Step 3: Cross multiply
    34,276.64x = 51,379.96 × 19,454.24
  4. Step 4: Simplify right side
    34,276.64x = 999,558,073.03
  5. Step 5: Solve for x
    x = 999,558,073.03/34,276.64
  6. Step 6: Final answer
    x = 29,161.50

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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.