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Finding the Fourth Proportional to 76,896.88, 115,349.48 and 24,302.40

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Solution

The fourth proportional to 76,896.88, 115,349.48 and 24,302.40 is: 36,454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,896.88 : 115,349.48 = 24,302.40 : x
  2. Step 2: Convert to fraction form
    76,896.88/115,349.48 = 24,302.40/x
  3. Step 3: Cross multiply
    76,896.88x = 115,349.48 × 24,302.40
  4. Step 4: Simplify right side
    76,896.88x = 2,803,269,202.75
  5. Step 5: Solve for x
    x = 2,803,269,202.75/76,896.88
  6. Step 6: Final answer
    x = 36,454.91

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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.