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Finding the Fourth Proportional to 32,513.46, 48,771.90 and 9,141.72

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Solution

The fourth proportional to 32,513.46, 48,771.90 and 9,141.72 is: 13,713.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,513.46 : 48,771.90 = 9,141.72 : x
  2. Step 2: Convert to fraction form
    32,513.46/48,771.90 = 9,141.72/x
  3. Step 3: Cross multiply
    32,513.46x = 48,771.90 × 9,141.72
  4. Step 4: Simplify right side
    32,513.46x = 445,859,053.67
  5. Step 5: Solve for x
    x = 445,859,053.67/32,513.46
  6. Step 6: Final answer
    x = 13,713.06

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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.