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Finding the Fourth Proportional to 105,523.37, 145,622.24 and 57,776.70

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Solution

The fourth proportional to 105,523.37, 145,622.24 and 57,776.70 is: 79,731.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,523.37 : 145,622.24 = 57,776.70 : x
  2. Step 2: Convert to fraction form
    105,523.37/145,622.24 = 57,776.70/x
  3. Step 3: Cross multiply
    105,523.37x = 145,622.24 × 57,776.70
  4. Step 4: Simplify right side
    105,523.37x = 8,413,572,184.92
  5. Step 5: Solve for x
    x = 8,413,572,184.92/105,523.37
  6. Step 6: Final answer
    x = 79,731.84

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