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Finding the Fourth Proportional to 32,882.01, 49,330.32 and 9,506.67

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Solution

The fourth proportional to 32,882.01, 49,330.32 and 9,506.67 is: 14,262.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,882.01 : 49,330.32 = 9,506.67 : x
  2. Step 2: Convert to fraction form
    32,882.01/49,330.32 = 9,506.67/x
  3. Step 3: Cross multiply
    32,882.01x = 49,330.32 × 9,506.67
  4. Step 4: Simplify right side
    32,882.01x = 468,967,073.23
  5. Step 5: Solve for x
    x = 468,967,073.23/32,882.01
  6. Step 6: Final answer
    x = 14,262.12

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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.