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Finding the Fourth Proportional to 32,758.56, 49,137.30 and 9,384.48

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Solution

The fourth proportional to 32,758.56, 49,137.30 and 9,384.48 is: 14,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,758.56 : 49,137.30 = 9,384.48 : x
  2. Step 2: Convert to fraction form
    32,758.56/49,137.30 = 9,384.48/x
  3. Step 3: Cross multiply
    32,758.56x = 49,137.30 × 9,384.48
  4. Step 4: Simplify right side
    32,758.56x = 461,128,009.10
  5. Step 5: Solve for x
    x = 461,128,009.10/32,758.56
  6. Step 6: Final answer
    x = 14,076.57

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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.