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Finding the Fourth Proportional to 78,082.38, 107,641.71 and 55,687.50

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Solution

The fourth proportional to 78,082.38, 107,641.71 and 55,687.50 is: 76,768.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,082.38 : 107,641.71 = 55,687.50 : x
  2. Step 2: Convert to fraction form
    78,082.38/107,641.71 = 55,687.50/x
  3. Step 3: Cross multiply
    78,082.38x = 107,641.71 × 55,687.50
  4. Step 4: Simplify right side
    78,082.38x = 5,994,297,725.63
  5. Step 5: Solve for x
    x = 5,994,297,725.63/78,082.38
  6. Step 6: Final answer
    x = 76,768.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.