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Finding the Fourth Proportional to 73,895.20, 110,857.20 and 29,514.40

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Solution

The fourth proportional to 73,895.20, 110,857.20 and 29,514.40 is: 44,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,895.20 : 110,857.20 = 29,514.40 : x
  2. Step 2: Convert to fraction form
    73,895.20/110,857.20 = 29,514.40/x
  3. Step 3: Cross multiply
    73,895.20x = 110,857.20 × 29,514.40
  4. Step 4: Simplify right side
    73,895.20x = 3,271,883,743.68
  5. Step 5: Solve for x
    x = 3,271,883,743.68/73,895.20
  6. Step 6: Final answer
    x = 44,277.35

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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.