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Finding the Fourth Proportional to 76,197.80, 114,187.74 and 42,847.86

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Solution

The fourth proportional to 76,197.80, 114,187.74 and 42,847.86 is: 64,210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,197.80 : 114,187.74 = 42,847.86 : x
  2. Step 2: Convert to fraction form
    76,197.80/114,187.74 = 42,847.86/x
  3. Step 3: Cross multiply
    76,197.80x = 114,187.74 × 42,847.86
  4. Step 4: Simplify right side
    76,197.80x = 4,892,700,297.24
  5. Step 5: Solve for x
    x = 4,892,700,297.24/76,197.80
  6. Step 6: Final answer
    x = 64,210.52

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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.