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Finding the Fourth Proportional to 51,999.57, 77,846.27 and 32,214.51

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Solution

The fourth proportional to 51,999.57, 77,846.27 and 32,214.51 is: 48,226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,999.57 : 77,846.27 = 32,214.51 : x
  2. Step 2: Convert to fraction form
    51,999.57/77,846.27 = 32,214.51/x
  3. Step 3: Cross multiply
    51,999.57x = 77,846.27 × 32,214.51
  4. Step 4: Simplify right side
    51,999.57x = 2,507,779,282.31
  5. Step 5: Solve for x
    x = 2,507,779,282.31/51,999.57
  6. Step 6: Final answer
    x = 48,226.92

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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.