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Finding the Fourth Proportional to 76,160.84, 114,042.54 and 61,288.52

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Solution

The fourth proportional to 76,160.84, 114,042.54 and 61,288.52 is: 91,772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,160.84 : 114,042.54 = 61,288.52 : x
  2. Step 2: Convert to fraction form
    76,160.84/114,042.54 = 61,288.52/x
  3. Step 3: Cross multiply
    76,160.84x = 114,042.54 × 61,288.52
  4. Step 4: Simplify right side
    76,160.84x = 6,989,498,493.64
  5. Step 5: Solve for x
    x = 6,989,498,493.64/76,160.84
  6. Step 6: Final answer
    x = 91,772.87

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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.