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Finding the Fourth Proportional to 51,456.12, 77,184.31 and 33,798.32

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Solution

The fourth proportional to 51,456.12, 77,184.31 and 33,798.32 is: 50,697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,456.12 : 77,184.31 = 33,798.32 : x
  2. Step 2: Convert to fraction form
    51,456.12/77,184.31 = 33,798.32/x
  3. Step 3: Cross multiply
    51,456.12x = 77,184.31 × 33,798.32
  4. Step 4: Simplify right side
    51,456.12x = 2,608,700,008.36
  5. Step 5: Solve for x
    x = 2,608,700,008.36/51,456.12
  6. Step 6: Final answer
    x = 50,697.57

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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.