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Finding the Fourth Proportional to 51,876, 71,588.88 and 29,520

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Solution

The fourth proportional to 51,876, 71,588.88 and 29,520 is: 40,737.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,876 : 71,588.88 = 29,520 : x
  2. Step 2: Convert to fraction form
    51,876/71,588.88 = 29,520/x
  3. Step 3: Cross multiply
    51,876x = 71,588.88 × 29,520
  4. Step 4: Simplify right side
    51,876x = 2,113,303,737.60
  5. Step 5: Solve for x
    x = 2,113,303,737.60/51,876
  6. Step 6: Final answer
    x = 40,737.60

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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.