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Finding the Fourth Proportional to 39,970.50, 59,955.75 and 10,786.50

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Solution

The fourth proportional to 39,970.50, 59,955.75 and 10,786.50 is: 16,179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,970.50 : 59,955.75 = 10,786.50 : x
  2. Step 2: Convert to fraction form
    39,970.50/59,955.75 = 10,786.50/x
  3. Step 3: Cross multiply
    39,970.50x = 59,955.75 × 10,786.50
  4. Step 4: Simplify right side
    39,970.50x = 646,712,697.38
  5. Step 5: Solve for x
    x = 646,712,697.38/39,970.50
  6. Step 6: Final answer
    x = 16,179.75

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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.