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Finding the Fourth Proportional to 82,580.20, 113,956.74 and 46,769.32

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Solution

The fourth proportional to 82,580.20, 113,956.74 and 46,769.32 is: 64,539.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,580.20 : 113,956.74 = 46,769.32 : x
  2. Step 2: Convert to fraction form
    82,580.20/113,956.74 = 46,769.32/x
  3. Step 3: Cross multiply
    82,580.20x = 113,956.74 × 46,769.32
  4. Step 4: Simplify right side
    82,580.20x = 5,329,679,239.22
  5. Step 5: Solve for x
    x = 5,329,679,239.22/82,580.20
  6. Step 6: Final answer
    x = 64,539.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.