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Finding the Fourth Proportional to 32,926.50, 49,389.75 and 9,553.14

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Solution

The fourth proportional to 32,926.50, 49,389.75 and 9,553.14 is: 14,329.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,926.50 : 49,389.75 = 9,553.14 : x
  2. Step 2: Convert to fraction form
    32,926.50/49,389.75 = 9,553.14/x
  3. Step 3: Cross multiply
    32,926.50x = 49,389.75 × 9,553.14
  4. Step 4: Simplify right side
    32,926.50x = 471,827,196.32
  5. Step 5: Solve for x
    x = 471,827,196.32/32,926.50
  6. Step 6: Final answer
    x = 14,329.71

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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.