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Finding the Fourth Proportional to 34,971.70, 52,473.06 and 18,327.78

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Solution

The fourth proportional to 34,971.70, 52,473.06 and 18,327.78 is: 27,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,971.70 : 52,473.06 = 18,327.78 : x
  2. Step 2: Convert to fraction form
    34,971.70/52,473.06 = 18,327.78/x
  3. Step 3: Cross multiply
    34,971.70x = 52,473.06 × 18,327.78
  4. Step 4: Simplify right side
    34,971.70x = 961,714,699.61
  5. Step 5: Solve for x
    x = 961,714,699.61/34,971.70
  6. Step 6: Final answer
    x = 27,499.80

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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.