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Finding the Fourth Proportional to 111,299.71, 166,951.40 and 31,339.60

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Solution

The fourth proportional to 111,299.71, 166,951.40 and 31,339.60 is: 47,009.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,299.71 : 166,951.40 = 31,339.60 : x
  2. Step 2: Convert to fraction form
    111,299.71/166,951.40 = 31,339.60/x
  3. Step 3: Cross multiply
    111,299.71x = 166,951.40 × 31,339.60
  4. Step 4: Simplify right side
    111,299.71x = 5,232,190,564.81
  5. Step 5: Solve for x
    x = 5,232,190,564.81/111,299.71
  6. Step 6: Final answer
    x = 47,009.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.