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Finding the Fourth Proportional to 41,457.48, 57,211.98 and 23,553

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Solution

The fourth proportional to 41,457.48, 57,211.98 and 23,553 is: 32,503.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,457.48 : 57,211.98 = 23,553 : x
  2. Step 2: Convert to fraction form
    41,457.48/57,211.98 = 23,553/x
  3. Step 3: Cross multiply
    41,457.48x = 57,211.98 × 23,553
  4. Step 4: Simplify right side
    41,457.48x = 1,347,513,764.94
  5. Step 5: Solve for x
    x = 1,347,513,764.94/41,457.48
  6. Step 6: Final answer
    x = 32,503.51

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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.