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Finding the Fourth Proportional to 111,302.56, 166,973.28 and 48,971.44

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Solution

The fourth proportional to 111,302.56, 166,973.28 and 48,971.44 is: 73,465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,302.56 : 166,973.28 = 48,971.44 : x
  2. Step 2: Convert to fraction form
    111,302.56/166,973.28 = 48,971.44/x
  3. Step 3: Cross multiply
    111,302.56x = 166,973.28 × 48,971.44
  4. Step 4: Simplify right side
    111,302.56x = 8,176,921,963.12
  5. Step 5: Solve for x
    x = 8,176,921,963.12/111,302.56
  6. Step 6: Final answer
    x = 73,465.71

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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.