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Finding the Fourth Proportional to 42,911.75, 64,372.08 and 11,747

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Solution

The fourth proportional to 42,911.75, 64,372.08 and 11,747 is: 17,621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,911.75 : 64,372.08 = 11,747 : x
  2. Step 2: Convert to fraction form
    42,911.75/64,372.08 = 11,747/x
  3. Step 3: Cross multiply
    42,911.75x = 64,372.08 × 11,747
  4. Step 4: Simplify right side
    42,911.75x = 756,178,823.76
  5. Step 5: Solve for x
    x = 756,178,823.76/42,911.75
  6. Step 6: Final answer
    x = 17,621.72

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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.