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Finding the Fourth Proportional to 57,196.65, 85,828.70 and 23,914.14

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Solution

The fourth proportional to 57,196.65, 85,828.70 and 23,914.14 is: 35,885.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,196.65 : 85,828.70 = 23,914.14 : x
  2. Step 2: Convert to fraction form
    57,196.65/85,828.70 = 23,914.14/x
  3. Step 3: Cross multiply
    57,196.65x = 85,828.70 × 23,914.14
  4. Step 4: Simplify right side
    57,196.65x = 2,052,519,547.82
  5. Step 5: Solve for x
    x = 2,052,519,547.82/57,196.65
  6. Step 6: Final answer
    x = 35,885.31

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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.