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Finding the Fourth Proportional to 32,709.49, 49,064.28 and 9,335.92

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Solution

The fourth proportional to 32,709.49, 49,064.28 and 9,335.92 is: 14,003.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,709.49 : 49,064.28 = 9,335.92 : x
  2. Step 2: Convert to fraction form
    32,709.49/49,064.28 = 9,335.92/x
  3. Step 3: Cross multiply
    32,709.49x = 49,064.28 × 9,335.92
  4. Step 4: Simplify right side
    32,709.49x = 458,060,192.94
  5. Step 5: Solve for x
    x = 458,060,192.94/32,709.49
  6. Step 6: Final answer
    x = 14,003.89

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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.