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Finding the Fourth Proportional to 51,664, 71,302.08 and 29,315.20

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Solution

The fourth proportional to 51,664, 71,302.08 and 29,315.20 is: 40,458.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,664 : 71,302.08 = 29,315.20 : x
  2. Step 2: Convert to fraction form
    51,664/71,302.08 = 29,315.20/x
  3. Step 3: Cross multiply
    51,664x = 71,302.08 × 29,315.20
  4. Step 4: Simplify right side
    51,664x = 2,090,234,735.62
  5. Step 5: Solve for x
    x = 2,090,234,735.62/51,664
  6. Step 6: Final answer
    x = 40,458.24

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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.