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Finding the Fourth Proportional to 39,361, 59,041.50 and 10,177

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Solution

The fourth proportional to 39,361, 59,041.50 and 10,177 is: 15,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,361 : 59,041.50 = 10,177 : x
  2. Step 2: Convert to fraction form
    39,361/59,041.50 = 10,177/x
  3. Step 3: Cross multiply
    39,361x = 59,041.50 × 10,177
  4. Step 4: Simplify right side
    39,361x = 600,865,345.50
  5. Step 5: Solve for x
    x = 600,865,345.50/39,361
  6. Step 6: Final answer
    x = 15,265.50

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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.