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Finding the Fourth Proportional to 76,495.86, 114,788.70 and 32,119.20

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Solution

The fourth proportional to 76,495.86, 114,788.70 and 32,119.20 is: 48,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,495.86 : 114,788.70 = 32,119.20 : x
  2. Step 2: Convert to fraction form
    76,495.86/114,788.70 = 32,119.20/x
  3. Step 3: Cross multiply
    76,495.86x = 114,788.70 × 32,119.20
  4. Step 4: Simplify right side
    76,495.86x = 3,686,921,213.04
  5. Step 5: Solve for x
    x = 3,686,921,213.04/76,495.86
  6. Step 6: Final answer
    x = 48,197.66

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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.