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Finding the Fourth Proportional to 34,287.68, 51,393.72 and 19,464.68

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Solution

The fourth proportional to 34,287.68, 51,393.72 and 19,464.68 is: 29,175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,287.68 : 51,393.72 = 19,464.68 : x
  2. Step 2: Convert to fraction form
    34,287.68/51,393.72 = 19,464.68/x
  3. Step 3: Cross multiply
    34,287.68x = 51,393.72 × 19,464.68
  4. Step 4: Simplify right side
    34,287.68x = 1,000,362,313.81
  5. Step 5: Solve for x
    x = 1,000,362,313.81/34,287.68
  6. Step 6: Final answer
    x = 29,175.56

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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.