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Finding the Fourth Proportional to 32,710, 49,065.48 and 9,336.43

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Solution

The fourth proportional to 32,710, 49,065.48 and 9,336.43 is: 14,004.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,710 : 49,065.48 = 9,336.43 : x
  2. Step 2: Convert to fraction form
    32,710/49,065.48 = 9,336.43/x
  3. Step 3: Cross multiply
    32,710x = 49,065.48 × 9,336.43
  4. Step 4: Simplify right side
    32,710x = 458,096,419.44
  5. Step 5: Solve for x
    x = 458,096,419.44/32,710
  6. Step 6: Final answer
    x = 14,004.78

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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.