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Finding the Fourth Proportional to 50,457.12, 75,659.76 and 22,740

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Solution

The fourth proportional to 50,457.12, 75,659.76 and 22,740 is: 34,098.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,457.12 : 75,659.76 = 22,740 : x
  2. Step 2: Convert to fraction form
    50,457.12/75,659.76 = 22,740/x
  3. Step 3: Cross multiply
    50,457.12x = 75,659.76 × 22,740
  4. Step 4: Simplify right side
    50,457.12x = 1,720,502,942.40
  5. Step 5: Solve for x
    x = 1,720,502,942.40/50,457.12
  6. Step 6: Final answer
    x = 34,098.32

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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.