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Finding the Fourth Proportional to 32,713.27, 49,078.41 and 9,341.53

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Solution

The fourth proportional to 32,713.27, 49,078.41 and 9,341.53 is: 14,014.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,713.27 : 49,078.41 = 9,341.53 : x
  2. Step 2: Convert to fraction form
    32,713.27/49,078.41 = 9,341.53/x
  3. Step 3: Cross multiply
    32,713.27x = 49,078.41 × 9,341.53
  4. Step 4: Simplify right side
    32,713.27x = 458,467,281.64
  5. Step 5: Solve for x
    x = 458,467,281.64/32,713.27
  6. Step 6: Final answer
    x = 14,014.72

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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.