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Finding the Fourth Proportional to 57,814.56, 86,598.90 and 27,784.70

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Solution

The fourth proportional to 57,814.56, 86,598.90 and 27,784.70 is: 41,617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,814.56 : 86,598.90 = 27,784.70 : x
  2. Step 2: Convert to fraction form
    57,814.56/86,598.90 = 27,784.70/x
  3. Step 3: Cross multiply
    57,814.56x = 86,598.90 × 27,784.70
  4. Step 4: Simplify right side
    57,814.56x = 2,406,124,026.88
  5. Step 5: Solve for x
    x = 2,406,124,026.88/57,814.56
  6. Step 6: Final answer
    x = 41,617.96

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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.