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Finding the Fourth Proportional to 34,971.68, 52,473.02 and 18,327.75

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Solution

The fourth proportional to 34,971.68, 52,473.02 and 18,327.75 is: 27,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,971.68 : 52,473.02 = 18,327.75 : x
  2. Step 2: Convert to fraction form
    34,971.68/52,473.02 = 18,327.75/x
  3. Step 3: Cross multiply
    34,971.68x = 52,473.02 × 18,327.75
  4. Step 4: Simplify right side
    34,971.68x = 961,712,392.31
  5. Step 5: Solve for x
    x = 961,712,392.31/34,971.68
  6. Step 6: Final answer
    x = 27,499.75

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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.