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Finding the Fourth Proportional to 56,209.74, 84,314.58 and 16,794.50

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Solution

The fourth proportional to 56,209.74, 84,314.58 and 16,794.50 is: 25,191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,209.74 : 84,314.58 = 16,794.50 : x
  2. Step 2: Convert to fraction form
    56,209.74/84,314.58 = 16,794.50/x
  3. Step 3: Cross multiply
    56,209.74x = 84,314.58 × 16,794.50
  4. Step 4: Simplify right side
    56,209.74x = 1,416,021,213.81
  5. Step 5: Solve for x
    x = 1,416,021,213.81/56,209.74
  6. Step 6: Final answer
    x = 25,191.74

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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.