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Finding the Fourth Proportional to 52,114.36, 71,916.82 and 29,452.84

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Solution

The fourth proportional to 52,114.36, 71,916.82 and 29,452.84 is: 40,644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,114.36 : 71,916.82 = 29,452.84 : x
  2. Step 2: Convert to fraction form
    52,114.36/71,916.82 = 29,452.84/x
  3. Step 3: Cross multiply
    52,114.36x = 71,916.82 × 29,452.84
  4. Step 4: Simplify right side
    52,114.36x = 2,118,154,592.77
  5. Step 5: Solve for x
    x = 2,118,154,592.77/52,114.36
  6. Step 6: Final answer
    x = 40,644.36

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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.