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Finding the Fourth Proportional to 82,028.70, 122,947.04 and 37,659.72

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Solution

The fourth proportional to 82,028.70, 122,947.04 and 37,659.72 is: 56,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,028.70 : 122,947.04 = 37,659.72 : x
  2. Step 2: Convert to fraction form
    82,028.70/122,947.04 = 37,659.72/x
  3. Step 3: Cross multiply
    82,028.70x = 122,947.04 × 37,659.72
  4. Step 4: Simplify right side
    82,028.70x = 4,630,151,101.23
  5. Step 5: Solve for x
    x = 4,630,151,101.23/82,028.70
  6. Step 6: Final answer
    x = 56,445.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.