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Finding the Fourth Proportional to 84,405.52, 116,474.88 and 46,157.46

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Solution

The fourth proportional to 84,405.52, 116,474.88 and 46,157.46 is: 63,694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,405.52 : 116,474.88 = 46,157.46 : x
  2. Step 2: Convert to fraction form
    84,405.52/116,474.88 = 46,157.46/x
  3. Step 3: Cross multiply
    84,405.52x = 116,474.88 × 46,157.46
  4. Step 4: Simplify right side
    84,405.52x = 5,376,184,614.60
  5. Step 5: Solve for x
    x = 5,376,184,614.60/84,405.52
  6. Step 6: Final answer
    x = 63,694.70

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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.