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Finding the Fourth Proportional to 80,567.60, 120,804.12 and 24,390.80

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Solution

The fourth proportional to 80,567.60, 120,804.12 and 24,390.80 is: 36,571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,567.60 : 120,804.12 = 24,390.80 : x
  2. Step 2: Convert to fraction form
    80,567.60/120,804.12 = 24,390.80/x
  3. Step 3: Cross multiply
    80,567.60x = 120,804.12 × 24,390.80
  4. Step 4: Simplify right side
    80,567.60x = 2,946,509,130.10
  5. Step 5: Solve for x
    x = 2,946,509,130.10/80,567.60
  6. Step 6: Final answer
    x = 36,571.89

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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.