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Finding the Fourth Proportional to 43,102.49, 64,653.61 and 13,522.55

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Solution

The fourth proportional to 43,102.49, 64,653.61 and 13,522.55 is: 20,283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,102.49 : 64,653.61 = 13,522.55 : x
  2. Step 2: Convert to fraction form
    43,102.49/64,653.61 = 13,522.55/x
  3. Step 3: Cross multiply
    43,102.49x = 64,653.61 × 13,522.55
  4. Step 4: Simplify right side
    43,102.49x = 874,281,673.91
  5. Step 5: Solve for x
    x = 874,281,673.91/43,102.49
  6. Step 6: Final answer
    x = 20,283.79

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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.