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Finding the Fourth Proportional to 111,697.68, 167,546.10 and 48,509.58

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Solution

The fourth proportional to 111,697.68, 167,546.10 and 48,509.58 is: 72,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,697.68 : 167,546.10 = 48,509.58 : x
  2. Step 2: Convert to fraction form
    111,697.68/167,546.10 = 48,509.58/x
  3. Step 3: Cross multiply
    111,697.68x = 167,546.10 × 48,509.58
  4. Step 4: Simplify right side
    111,697.68x = 8,127,590,941.64
  5. Step 5: Solve for x
    x = 8,127,590,941.64/111,697.68
  6. Step 6: Final answer
    x = 72,764.19

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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.