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Finding the Fourth Proportional to 76,615.52, 114,900.96 and 29,857.28

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Solution

The fourth proportional to 76,615.52, 114,900.96 and 29,857.28 is: 44,777.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,615.52 : 114,900.96 = 29,857.28 : x
  2. Step 2: Convert to fraction form
    76,615.52/114,900.96 = 29,857.28/x
  3. Step 3: Cross multiply
    76,615.52x = 114,900.96 × 29,857.28
  4. Step 4: Simplify right side
    76,615.52x = 3,430,630,134.99
  5. Step 5: Solve for x
    x = 3,430,630,134.99/76,615.52
  6. Step 6: Final answer
    x = 44,777.22

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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.