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Finding the Fourth Proportional to 32,729.48, 49,093.24 and 9,038.47

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Solution

The fourth proportional to 32,729.48, 49,093.24 and 9,038.47 is: 13,557.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,729.48 : 49,093.24 = 9,038.47 : x
  2. Step 2: Convert to fraction form
    32,729.48/49,093.24 = 9,038.47/x
  3. Step 3: Cross multiply
    32,729.48x = 49,093.24 × 9,038.47
  4. Step 4: Simplify right side
    32,729.48x = 443,727,776.94
  5. Step 5: Solve for x
    x = 443,727,776.94/32,729.48
  6. Step 6: Final answer
    x = 13,557.43

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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.