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Finding the Fourth Proportional to 32,856.48, 49,278.96 and 10,666.62

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Solution

The fourth proportional to 32,856.48, 49,278.96 and 10,666.62 is: 15,998.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856.48 : 49,278.96 = 10,666.62 : x
  2. Step 2: Convert to fraction form
    32,856.48/49,278.96 = 10,666.62/x
  3. Step 3: Cross multiply
    32,856.48x = 49,278.96 × 10,666.62
  4. Step 4: Simplify right side
    32,856.48x = 525,639,940.32
  5. Step 5: Solve for x
    x = 525,639,940.32/32,856.48
  6. Step 6: Final answer
    x = 15,998.06

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