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Finding the Fourth Proportional to 32,971.56, 49,463.70 and 10,778.94

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Solution

The fourth proportional to 32,971.56, 49,463.70 and 10,778.94 is: 16,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,971.56 : 49,463.70 = 10,778.94 : x
  2. Step 2: Convert to fraction form
    32,971.56/49,463.70 = 10,778.94/x
  3. Step 3: Cross multiply
    32,971.56x = 49,463.70 × 10,778.94
  4. Step 4: Simplify right side
    32,971.56x = 533,166,254.48
  5. Step 5: Solve for x
    x = 533,166,254.48/32,971.56
  6. Step 6: Final answer
    x = 16,170.49

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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.