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Finding the Fourth Proportional to 111,488.49, 167,258.24 and 48,319.11

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Solution

The fourth proportional to 111,488.49, 167,258.24 and 48,319.11 is: 72,489.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,488.49 : 167,258.24 = 48,319.11 : x
  2. Step 2: Convert to fraction form
    111,488.49/167,258.24 = 48,319.11/x
  3. Step 3: Cross multiply
    111,488.49x = 167,258.24 × 48,319.11
  4. Step 4: Simplify right side
    111,488.49x = 8,081,769,055.37
  5. Step 5: Solve for x
    x = 8,081,769,055.37/111,488.49
  6. Step 6: Final answer
    x = 72,489.72

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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.