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Finding the Fourth Proportional to 59,677.32, 82,353.06 and 32,819.82

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Solution

The fourth proportional to 59,677.32, 82,353.06 and 32,819.82 is: 45,290.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,677.32 : 82,353.06 = 32,819.82 : x
  2. Step 2: Convert to fraction form
    59,677.32/82,353.06 = 32,819.82/x
  3. Step 3: Cross multiply
    59,677.32x = 82,353.06 × 32,819.82
  4. Step 4: Simplify right side
    59,677.32x = 2,702,812,605.65
  5. Step 5: Solve for x
    x = 2,702,812,605.65/59,677.32
  6. Step 6: Final answer
    x = 45,290.45

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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.