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Finding the Fourth Proportional to 53,477.96, 80,244.30 and 21,911

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Solution

The fourth proportional to 53,477.96, 80,244.30 and 21,911 is: 32,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,477.96 : 80,244.30 = 21,911 : x
  2. Step 2: Convert to fraction form
    53,477.96/80,244.30 = 21,911/x
  3. Step 3: Cross multiply
    53,477.96x = 80,244.30 × 21,911
  4. Step 4: Simplify right side
    53,477.96x = 1,758,232,857.30
  5. Step 5: Solve for x
    x = 1,758,232,857.30/53,477.96
  6. Step 6: Final answer
    x = 32,877.71

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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.