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Finding the Fourth Proportional to 32,969.42, 49,460.20 and 10,783.97

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Solution

The fourth proportional to 32,969.42, 49,460.20 and 10,783.97 is: 16,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969.42 : 49,460.20 = 10,783.97 : x
  2. Step 2: Convert to fraction form
    32,969.42/49,460.20 = 10,783.97/x
  3. Step 3: Cross multiply
    32,969.42x = 49,460.20 × 10,783.97
  4. Step 4: Simplify right side
    32,969.42x = 533,377,312.99
  5. Step 5: Solve for x
    x = 533,377,312.99/32,969.42
  6. Step 6: Final answer
    x = 16,177.94

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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.