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Finding the Fourth Proportional to 56,294.64, 84,450.60 and 19,350

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Solution

The fourth proportional to 56,294.64, 84,450.60 and 19,350 is: 29,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,294.64 : 84,450.60 = 19,350 : x
  2. Step 2: Convert to fraction form
    56,294.64/84,450.60 = 19,350/x
  3. Step 3: Cross multiply
    56,294.64x = 84,450.60 × 19,350
  4. Step 4: Simplify right side
    56,294.64x = 1,634,119,110
  5. Step 5: Solve for x
    x = 1,634,119,110/56,294.64
  6. Step 6: Final answer
    x = 29,027.97

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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.