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Finding the Fourth Proportional to 50,869.62, 76,295.64 and 13,430.04

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Solution

The fourth proportional to 50,869.62, 76,295.64 and 13,430.04 is: 20,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,869.62 : 76,295.64 = 13,430.04 : x
  2. Step 2: Convert to fraction form
    50,869.62/76,295.64 = 13,430.04/x
  3. Step 3: Cross multiply
    50,869.62x = 76,295.64 × 13,430.04
  4. Step 4: Simplify right side
    50,869.62x = 1,024,653,497.03
  5. Step 5: Solve for x
    x = 1,024,653,497.03/50,869.62
  6. Step 6: Final answer
    x = 20,142.74

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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.