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Finding the Fourth Proportional to 53,884.68, 80,869.14 and 37,361.09

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Solution

The fourth proportional to 53,884.68, 80,869.14 and 37,361.09 is: 56,070.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,884.68 : 80,869.14 = 37,361.09 : x
  2. Step 2: Convert to fraction form
    53,884.68/80,869.14 = 37,361.09/x
  3. Step 3: Cross multiply
    53,884.68x = 80,869.14 × 37,361.09
  4. Step 4: Simplify right side
    53,884.68x = 3,021,358,813.42
  5. Step 5: Solve for x
    x = 3,021,358,813.42/53,884.68
  6. Step 6: Final answer
    x = 56,070.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.