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Finding the Fourth Proportional to 174,324.64, 261,486.96 and 49,666

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Solution

The fourth proportional to 174,324.64, 261,486.96 and 49,666 is: 74,499.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,324.64 : 261,486.96 = 49,666 : x
  2. Step 2: Convert to fraction form
    174,324.64/261,486.96 = 49,666/x
  3. Step 3: Cross multiply
    174,324.64x = 261,486.96 × 49,666
  4. Step 4: Simplify right side
    174,324.64x = 12,987,011,355.36
  5. Step 5: Solve for x
    x = 12,987,011,355.36/174,324.64
  6. Step 6: Final answer
    x = 74,499.00

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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.