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Finding the Fourth Proportional to 84,191.02, 116,183.37 and 46,465

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Solution

The fourth proportional to 84,191.02, 116,183.37 and 46,465 is: 64,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,191.02 : 116,183.37 = 46,465 : x
  2. Step 2: Convert to fraction form
    84,191.02/116,183.37 = 46,465/x
  3. Step 3: Cross multiply
    84,191.02x = 116,183.37 × 46,465
  4. Step 4: Simplify right side
    84,191.02x = 5,398,460,287.05
  5. Step 5: Solve for x
    x = 5,398,460,287.05/84,191.02
  6. Step 6: Final answer
    x = 64,121.57

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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.