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Finding the Fourth Proportional to 42,861.50, 64,333.82 and 20,690.50

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Solution

The fourth proportional to 42,861.50, 64,333.82 and 20,690.50 is: 31,055.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,861.50 : 64,333.82 = 20,690.50 : x
  2. Step 2: Convert to fraction form
    42,861.50/64,333.82 = 20,690.50/x
  3. Step 3: Cross multiply
    42,861.50x = 64,333.82 × 20,690.50
  4. Step 4: Simplify right side
    42,861.50x = 1,331,098,902.71
  5. Step 5: Solve for x
    x = 1,331,098,902.71/42,861.50
  6. Step 6: Final answer
    x = 31,055.82

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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.