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Finding the Fourth Proportional to 42,457.26, 58,593.15 and 23,596.14

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Solution

The fourth proportional to 42,457.26, 58,593.15 and 23,596.14 is: 32,563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,457.26 : 58,593.15 = 23,596.14 : x
  2. Step 2: Convert to fraction form
    42,457.26/58,593.15 = 23,596.14/x
  3. Step 3: Cross multiply
    42,457.26x = 58,593.15 × 23,596.14
  4. Step 4: Simplify right side
    42,457.26x = 1,382,572,170.44
  5. Step 5: Solve for x
    x = 1,382,572,170.44/42,457.26
  6. Step 6: Final answer
    x = 32,563.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.