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Finding the Fourth Proportional to 31,869.02, 47,803.50 and 15,178.46

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Solution

The fourth proportional to 31,869.02, 47,803.50 and 15,178.46 is: 22,767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,869.02 : 47,803.50 = 15,178.46 : x
  2. Step 2: Convert to fraction form
    31,869.02/47,803.50 = 15,178.46/x
  3. Step 3: Cross multiply
    31,869.02x = 47,803.50 × 15,178.46
  4. Step 4: Simplify right side
    31,869.02x = 725,583,273.59
  5. Step 5: Solve for x
    x = 725,583,273.59/31,869.02
  6. Step 6: Final answer
    x = 22,767.67

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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.