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Finding the Fourth Proportional to 32,938.50, 49,417.09 and 13,230.89

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Solution

The fourth proportional to 32,938.50, 49,417.09 and 13,230.89 is: 19,850.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,938.50 : 49,417.09 = 13,230.89 : x
  2. Step 2: Convert to fraction form
    32,938.50/49,417.09 = 13,230.89/x
  3. Step 3: Cross multiply
    32,938.50x = 49,417.09 × 13,230.89
  4. Step 4: Simplify right side
    32,938.50x = 653,832,265.03
  5. Step 5: Solve for x
    x = 653,832,265.03/32,938.50
  6. Step 6: Final answer
    x = 19,850.09

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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.