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Finding the Fourth Proportional to 104,967.20, 157,410.12 and 34,827.68

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Solution

The fourth proportional to 104,967.20, 157,410.12 and 34,827.68 is: 52,228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,967.20 : 157,410.12 = 34,827.68 : x
  2. Step 2: Convert to fraction form
    104,967.20/157,410.12 = 34,827.68/x
  3. Step 3: Cross multiply
    104,967.20x = 157,410.12 × 34,827.68
  4. Step 4: Simplify right side
    104,967.20x = 5,482,229,288.12
  5. Step 5: Solve for x
    x = 5,482,229,288.12/104,967.20
  6. Step 6: Final answer
    x = 52,228.02

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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.