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Finding the Fourth Proportional to 50,457.42, 75,721.32 and 20,875.50

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Solution

The fourth proportional to 50,457.42, 75,721.32 and 20,875.50 is: 31,327.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,457.42 : 75,721.32 = 20,875.50 : x
  2. Step 2: Convert to fraction form
    50,457.42/75,721.32 = 20,875.50/x
  3. Step 3: Cross multiply
    50,457.42x = 75,721.32 × 20,875.50
  4. Step 4: Simplify right side
    50,457.42x = 1,580,720,415.66
  5. Step 5: Solve for x
    x = 1,580,720,415.66/50,457.42
  6. Step 6: Final answer
    x = 31,327.81

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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.