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Finding the Fourth Proportional to 39,513, 59,269.50 and 10,329

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Solution

The fourth proportional to 39,513, 59,269.50 and 10,329 is: 15,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,513 : 59,269.50 = 10,329 : x
  2. Step 2: Convert to fraction form
    39,513/59,269.50 = 10,329/x
  3. Step 3: Cross multiply
    39,513x = 59,269.50 × 10,329
  4. Step 4: Simplify right side
    39,513x = 612,194,665.50
  5. Step 5: Solve for x
    x = 612,194,665.50/39,513
  6. Step 6: Final answer
    x = 15,493.50

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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.