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Finding the Fourth Proportional to 32,140.29, 48,212.73 and 9,950.82

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Solution

The fourth proportional to 32,140.29, 48,212.73 and 9,950.82 is: 14,926.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,140.29 : 48,212.73 = 9,950.82 : x
  2. Step 2: Convert to fraction form
    32,140.29/48,212.73 = 9,950.82/x
  3. Step 3: Cross multiply
    32,140.29x = 48,212.73 × 9,950.82
  4. Step 4: Simplify right side
    32,140.29x = 479,756,197.94
  5. Step 5: Solve for x
    x = 479,756,197.94/32,140.29
  6. Step 6: Final answer
    x = 14,926.94

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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.