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Finding the Fourth Proportional to 40,897.50, 61,346.14 and 12,819.70

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Solution

The fourth proportional to 40,897.50, 61,346.14 and 12,819.70 is: 19,229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,897.50 : 61,346.14 = 12,819.70 : x
  2. Step 2: Convert to fraction form
    40,897.50/61,346.14 = 12,819.70/x
  3. Step 3: Cross multiply
    40,897.50x = 61,346.14 × 12,819.70
  4. Step 4: Simplify right side
    40,897.50x = 786,439,110.96
  5. Step 5: Solve for x
    x = 786,439,110.96/40,897.50
  6. Step 6: Final answer
    x = 19,229.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.