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Finding the Fourth Proportional to 41,461.48, 57,217.50 and 23,557

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Solution

The fourth proportional to 41,461.48, 57,217.50 and 23,557 is: 32,509.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,461.48 : 57,217.50 = 23,557 : x
  2. Step 2: Convert to fraction form
    41,461.48/57,217.50 = 23,557/x
  3. Step 3: Cross multiply
    41,461.48x = 57,217.50 × 23,557
  4. Step 4: Simplify right side
    41,461.48x = 1,347,872,647.50
  5. Step 5: Solve for x
    x = 1,347,872,647.50/41,461.48
  6. Step 6: Final answer
    x = 32,509.03

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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.