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Finding the Fourth Proportional to 56,736, 85,112.64 and 19,284.48

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Solution

The fourth proportional to 56,736, 85,112.64 and 19,284.48 is: 28,929.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,736 : 85,112.64 = 19,284.48 : x
  2. Step 2: Convert to fraction form
    56,736/85,112.64 = 19,284.48/x
  3. Step 3: Cross multiply
    56,736x = 85,112.64 × 19,284.48
  4. Step 4: Simplify right side
    56,736x = 1,641,353,003.83
  5. Step 5: Solve for x
    x = 1,641,353,003.83/56,736
  6. Step 6: Final answer
    x = 28,929.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.