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Finding the Fourth Proportional to 53,938.40, 80,919.27 and 20,658.47

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Solution

The fourth proportional to 53,938.40, 80,919.27 and 20,658.47 is: 30,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,938.40 : 80,919.27 = 20,658.47 : x
  2. Step 2: Convert to fraction form
    53,938.40/80,919.27 = 20,658.47/x
  3. Step 3: Cross multiply
    53,938.40x = 80,919.27 × 20,658.47
  4. Step 4: Simplify right side
    53,938.40x = 1,671,668,311.72
  5. Step 5: Solve for x
    x = 1,671,668,311.72/53,938.40
  6. Step 6: Final answer
    x = 30,992.17

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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.