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Finding the Fourth Proportional to 32,992.43, 49,484.75 and 9,301.76

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Solution

The fourth proportional to 32,992.43, 49,484.75 and 9,301.76 is: 13,951.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,992.43 : 49,484.75 = 9,301.76 : x
  2. Step 2: Convert to fraction form
    32,992.43/49,484.75 = 9,301.76/x
  3. Step 3: Cross multiply
    32,992.43x = 49,484.75 × 9,301.76
  4. Step 4: Simplify right side
    32,992.43x = 460,294,974.23
  5. Step 5: Solve for x
    x = 460,294,974.23/32,992.43
  6. Step 6: Final answer
    x = 13,951.53

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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.