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Finding the Fourth Proportional to 76,265.64, 114,429.87 and 33,549.12

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Solution

The fourth proportional to 76,265.64, 114,429.87 and 33,549.12 is: 50,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,265.64 : 114,429.87 = 33,549.12 : x
  2. Step 2: Convert to fraction form
    76,265.64/114,429.87 = 33,549.12/x
  3. Step 3: Cross multiply
    76,265.64x = 114,429.87 × 33,549.12
  4. Step 4: Simplify right side
    76,265.64x = 3,839,021,440.21
  5. Step 5: Solve for x
    x = 3,839,021,440.21/76,265.64
  6. Step 6: Final answer
    x = 50,337.50

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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.