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Finding the Fourth Proportional to 32,996.86, 49,487.74 and 19,673.62

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Solution

The fourth proportional to 32,996.86, 49,487.74 and 19,673.62 is: 29,505.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,996.86 : 49,487.74 = 19,673.62 : x
  2. Step 2: Convert to fraction form
    32,996.86/49,487.74 = 19,673.62/x
  3. Step 3: Cross multiply
    32,996.86x = 49,487.74 × 19,673.62
  4. Step 4: Simplify right side
    32,996.86x = 973,602,991.42
  5. Step 5: Solve for x
    x = 973,602,991.42/32,996.86
  6. Step 6: Final answer
    x = 29,505.93

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Why These Related Problems?

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