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Finding the Fourth Proportional to 84,052.58, 115,993.10 and 46,326.84

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Solution

The fourth proportional to 84,052.58, 115,993.10 and 46,326.84 is: 63,931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,052.58 : 115,993.10 = 46,326.84 : x
  2. Step 2: Convert to fraction form
    84,052.58/115,993.10 = 46,326.84/x
  3. Step 3: Cross multiply
    84,052.58x = 115,993.10 × 46,326.84
  4. Step 4: Simplify right side
    84,052.58x = 5,373,593,784.80
  5. Step 5: Solve for x
    x = 5,373,593,784.80/84,052.58
  6. Step 6: Final answer
    x = 63,931.34

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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.