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Finding the Fourth Proportional to 52,874.60, 79,319.19 and 30,698.42

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Solution

The fourth proportional to 52,874.60, 79,319.19 and 30,698.42 is: 46,051.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,874.60 : 79,319.19 = 30,698.42 : x
  2. Step 2: Convert to fraction form
    52,874.60/79,319.19 = 30,698.42/x
  3. Step 3: Cross multiply
    52,874.60x = 79,319.19 × 30,698.42
  4. Step 4: Simplify right side
    52,874.60x = 2,434,973,808.68
  5. Step 5: Solve for x
    x = 2,434,973,808.68/52,874.60
  6. Step 6: Final answer
    x = 46,051.86

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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.