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Finding the Fourth Proportional to 42,800.14, 64,200.02 and 11,635.30

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Solution

The fourth proportional to 42,800.14, 64,200.02 and 11,635.30 is: 17,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,800.14 : 64,200.02 = 11,635.30 : x
  2. Step 2: Convert to fraction form
    42,800.14/64,200.02 = 11,635.30/x
  3. Step 3: Cross multiply
    42,800.14x = 64,200.02 × 11,635.30
  4. Step 4: Simplify right side
    42,800.14x = 746,986,492.71
  5. Step 5: Solve for x
    x = 746,986,492.71/42,800.14
  6. Step 6: Final answer
    x = 17,452.90

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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.