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Finding the Fourth Proportional to 75,814.79, 113,720.62 and 33,683.45

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Solution

The fourth proportional to 75,814.79, 113,720.62 and 33,683.45 is: 50,524.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,814.79 : 113,720.62 = 33,683.45 : x
  2. Step 2: Convert to fraction form
    75,814.79/113,720.62 = 33,683.45/x
  3. Step 3: Cross multiply
    75,814.79x = 113,720.62 × 33,683.45
  4. Step 4: Simplify right side
    75,814.79x = 3,830,502,817.74
  5. Step 5: Solve for x
    x = 3,830,502,817.74/75,814.79
  6. Step 6: Final answer
    x = 50,524.48

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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.