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Finding the Fourth Proportional to 52,178.45, 72,006.28 and 29,516.96

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Solution

The fourth proportional to 52,178.45, 72,006.28 and 29,516.96 is: 40,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,178.45 : 72,006.28 = 29,516.96 : x
  2. Step 2: Convert to fraction form
    52,178.45/72,006.28 = 29,516.96/x
  3. Step 3: Cross multiply
    52,178.45x = 72,006.28 × 29,516.96
  4. Step 4: Simplify right side
    52,178.45x = 2,125,406,353.73
  5. Step 5: Solve for x
    x = 2,125,406,353.73/52,178.45
  6. Step 6: Final answer
    x = 40,733.41

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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.