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Finding the Fourth Proportional to 104,476.80, 156,741.12 and 49,008

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Solution

The fourth proportional to 104,476.80, 156,741.12 and 49,008 is: 73,524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,476.80 : 156,741.12 = 49,008 : x
  2. Step 2: Convert to fraction form
    104,476.80/156,741.12 = 49,008/x
  3. Step 3: Cross multiply
    104,476.80x = 156,741.12 × 49,008
  4. Step 4: Simplify right side
    104,476.80x = 7,681,568,808.96
  5. Step 5: Solve for x
    x = 7,681,568,808.96/104,476.80
  6. Step 6: Final answer
    x = 73,524.16

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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.