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Finding the Fourth Proportional to 95,235.84, 131,406.95 and 56,466.50

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Solution

The fourth proportional to 95,235.84, 131,406.95 and 56,466.50 is: 77,912.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,235.84 : 131,406.95 = 56,466.50 : x
  2. Step 2: Convert to fraction form
    95,235.84/131,406.95 = 56,466.50/x
  3. Step 3: Cross multiply
    95,235.84x = 131,406.95 × 56,466.50
  4. Step 4: Simplify right side
    95,235.84x = 7,420,090,279.89
  5. Step 5: Solve for x
    x = 7,420,090,279.89/95,235.84
  6. Step 6: Final answer
    x = 77,912.79

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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.