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Finding the Fourth Proportional to 76,753.46, 115,156.34 and 46,827.61

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Solution

The fourth proportional to 76,753.46, 115,156.34 and 46,827.61 is: 70,257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,753.46 : 115,156.34 = 46,827.61 : x
  2. Step 2: Convert to fraction form
    76,753.46/115,156.34 = 46,827.61/x
  3. Step 3: Cross multiply
    76,753.46x = 115,156.34 × 46,827.61
  4. Step 4: Simplify right side
    76,753.46x = 5,392,496,178.55
  5. Step 5: Solve for x
    x = 5,392,496,178.55/76,753.46
  6. Step 6: Final answer
    x = 70,257.37

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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.