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Finding the Fourth Proportional to 39,889, 59,833.50 and 10,705

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Solution

The fourth proportional to 39,889, 59,833.50 and 10,705 is: 16,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,889 : 59,833.50 = 10,705 : x
  2. Step 2: Convert to fraction form
    39,889/59,833.50 = 10,705/x
  3. Step 3: Cross multiply
    39,889x = 59,833.50 × 10,705
  4. Step 4: Simplify right side
    39,889x = 640,517,617.50
  5. Step 5: Solve for x
    x = 640,517,617.50/39,889
  6. Step 6: Final answer
    x = 16,057.50

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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.