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Finding the Fourth Proportional to 42,847.35, 59,097.46 and 27,728.34

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Solution

The fourth proportional to 42,847.35, 59,097.46 and 27,728.34 is: 38,244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,847.35 : 59,097.46 = 27,728.34 : x
  2. Step 2: Convert to fraction form
    42,847.35/59,097.46 = 27,728.34/x
  3. Step 3: Cross multiply
    42,847.35x = 59,097.46 × 27,728.34
  4. Step 4: Simplify right side
    42,847.35x = 1,638,674,464.02
  5. Step 5: Solve for x
    x = 1,638,674,464.02/42,847.35
  6. Step 6: Final answer
    x = 38,244.48

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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.