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Finding the Fourth Proportional to 82,861, 114,348.42 and 45,135.32

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Solution

The fourth proportional to 82,861, 114,348.42 and 45,135.32 is: 62,286.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,861 : 114,348.42 = 45,135.32 : x
  2. Step 2: Convert to fraction form
    82,861/114,348.42 = 45,135.32/x
  3. Step 3: Cross multiply
    82,861x = 114,348.42 × 45,135.32
  4. Step 4: Simplify right side
    82,861x = 5,161,152,528.19
  5. Step 5: Solve for x
    x = 5,161,152,528.19/82,861
  6. Step 6: Final answer
    x = 62,286.87

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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.