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Finding the Fourth Proportional to 75,457.89, 113,196.56 and 22,858.11

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Solution

The fourth proportional to 75,457.89, 113,196.56 and 22,858.11 is: 34,290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,457.89 : 113,196.56 = 22,858.11 : x
  2. Step 2: Convert to fraction form
    75,457.89/113,196.56 = 22,858.11/x
  3. Step 3: Cross multiply
    75,457.89x = 113,196.56 × 22,858.11
  4. Step 4: Simplify right side
    75,457.89x = 2,587,459,305.81
  5. Step 5: Solve for x
    x = 2,587,459,305.81/75,457.89
  6. Step 6: Final answer
    x = 34,290.11

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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.