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Finding the Fourth Proportional to 82,142.35, 113,368.74 and 50,329.70

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Solution

The fourth proportional to 82,142.35, 113,368.74 and 50,329.70 is: 69,462.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,142.35 : 113,368.74 = 50,329.70 : x
  2. Step 2: Convert to fraction form
    82,142.35/113,368.74 = 50,329.70/x
  3. Step 3: Cross multiply
    82,142.35x = 113,368.74 × 50,329.70
  4. Step 4: Simplify right side
    82,142.35x = 5,705,814,106.73
  5. Step 5: Solve for x
    x = 5,705,814,106.73/82,142.35
  6. Step 6: Final answer
    x = 69,462.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.