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Finding the Fourth Proportional to 84,343.54, 116,399.02 and 46,621.30

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Solution

The fourth proportional to 84,343.54, 116,399.02 and 46,621.30 is: 64,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,343.54 : 116,399.02 = 46,621.30 : x
  2. Step 2: Convert to fraction form
    84,343.54/116,399.02 = 46,621.30/x
  3. Step 3: Cross multiply
    84,343.54x = 116,399.02 × 46,621.30
  4. Step 4: Simplify right side
    84,343.54x = 5,426,673,631.13
  5. Step 5: Solve for x
    x = 5,426,673,631.13/84,343.54
  6. Step 6: Final answer
    x = 64,340.12

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Why These Related Problems?

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