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Finding the Fourth Proportional to 32,950.40, 49,429.20 and 31,913.60

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Solution

The fourth proportional to 32,950.40, 49,429.20 and 31,913.60 is: 47,873.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950.40 : 49,429.20 = 31,913.60 : x
  2. Step 2: Convert to fraction form
    32,950.40/49,429.20 = 31,913.60/x
  3. Step 3: Cross multiply
    32,950.40x = 49,429.20 × 31,913.60
  4. Step 4: Simplify right side
    32,950.40x = 1,577,463,717.12
  5. Step 5: Solve for x
    x = 1,577,463,717.12/32,950.40
  6. Step 6: Final answer
    x = 47,873.89

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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.