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Finding the Fourth Proportional to 76,604.64, 114,868.08 and 35,016

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Solution

The fourth proportional to 76,604.64, 114,868.08 and 35,016 is: 52,506.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,604.64 : 114,868.08 = 35,016 : x
  2. Step 2: Convert to fraction form
    76,604.64/114,868.08 = 35,016/x
  3. Step 3: Cross multiply
    76,604.64x = 114,868.08 × 35,016
  4. Step 4: Simplify right side
    76,604.64x = 4,022,220,689.28
  5. Step 5: Solve for x
    x = 4,022,220,689.28/76,604.64
  6. Step 6: Final answer
    x = 52,506.23

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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.