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Finding the Fourth Proportional to 45,284.26, 67,838.03 and 29,654.50

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Solution

The fourth proportional to 45,284.26, 67,838.03 and 29,654.50 is: 44,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,284.26 : 67,838.03 = 29,654.50 : x
  2. Step 2: Convert to fraction form
    45,284.26/67,838.03 = 29,654.50/x
  3. Step 3: Cross multiply
    45,284.26x = 67,838.03 × 29,654.50
  4. Step 4: Simplify right side
    45,284.26x = 2,011,702,860.64
  5. Step 5: Solve for x
    x = 2,011,702,860.64/45,284.26
  6. Step 6: Final answer
    x = 44,423.89

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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.