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Finding the Fourth Proportional to 59,843.64, 82,546.38 and 42,814.20

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Solution

The fourth proportional to 59,843.64, 82,546.38 and 42,814.20 is: 59,056.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,843.64 : 82,546.38 = 42,814.20 : x
  2. Step 2: Convert to fraction form
    59,843.64/82,546.38 = 42,814.20/x
  3. Step 3: Cross multiply
    59,843.64x = 82,546.38 × 42,814.20
  4. Step 4: Simplify right side
    59,843.64x = 3,534,157,222.60
  5. Step 5: Solve for x
    x = 3,534,157,222.60/59,843.64
  6. Step 6: Final answer
    x = 59,056.52

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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.