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Finding the Fourth Proportional to 42,676.34, 64,015.68 and 11,511.50

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Solution

The fourth proportional to 42,676.34, 64,015.68 and 11,511.50 is: 17,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,676.34 : 64,015.68 = 11,511.50 : x
  2. Step 2: Convert to fraction form
    42,676.34/64,015.68 = 11,511.50/x
  3. Step 3: Cross multiply
    42,676.34x = 64,015.68 × 11,511.50
  4. Step 4: Simplify right side
    42,676.34x = 736,916,500.32
  5. Step 5: Solve for x
    x = 736,916,500.32/42,676.34
  6. Step 6: Final answer
    x = 17,267.57

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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.