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Finding the Fourth Proportional to 77,474.86, 106,950.72 and 59,563.60

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Solution

The fourth proportional to 77,474.86, 106,950.72 and 59,563.60 is: 82,224.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,474.86 : 106,950.72 = 59,563.60 : x
  2. Step 2: Convert to fraction form
    77,474.86/106,950.72 = 59,563.60/x
  3. Step 3: Cross multiply
    77,474.86x = 106,950.72 × 59,563.60
  4. Step 4: Simplify right side
    77,474.86x = 6,370,369,905.79
  5. Step 5: Solve for x
    x = 6,370,369,905.79/77,474.86
  6. Step 6: Final answer
    x = 82,224.99

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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.