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Finding the Fourth Proportional to 32,950.38, 49,419.54 and 8,935.14

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Solution

The fourth proportional to 32,950.38, 49,419.54 and 8,935.14 is: 13,401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950.38 : 49,419.54 = 8,935.14 : x
  2. Step 2: Convert to fraction form
    32,950.38/49,419.54 = 8,935.14/x
  3. Step 3: Cross multiply
    32,950.38x = 49,419.54 × 8,935.14
  4. Step 4: Simplify right side
    32,950.38x = 441,570,508.64
  5. Step 5: Solve for x
    x = 441,570,508.64/32,950.38
  6. Step 6: Final answer
    x = 13,401.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.