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Finding the Fourth Proportional to 111,930.48, 167,924.76 and 49,586.16

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Solution

The fourth proportional to 111,930.48, 167,924.76 and 49,586.16 is: 74,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,930.48 : 167,924.76 = 49,586.16 : x
  2. Step 2: Convert to fraction form
    111,930.48/167,924.76 = 49,586.16/x
  3. Step 3: Cross multiply
    111,930.48x = 167,924.76 × 49,586.16
  4. Step 4: Simplify right side
    111,930.48x = 8,326,744,017.32
  5. Step 5: Solve for x
    x = 8,326,744,017.32/111,930.48
  6. Step 6: Final answer
    x = 74,392.10

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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.