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Finding the Fourth Proportional to 72,406.48, 108,611.28 and 41,176

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Solution

The fourth proportional to 72,406.48, 108,611.28 and 41,176 is: 61,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,406.48 : 108,611.28 = 41,176 : x
  2. Step 2: Convert to fraction form
    72,406.48/108,611.28 = 41,176/x
  3. Step 3: Cross multiply
    72,406.48x = 108,611.28 × 41,176
  4. Step 4: Simplify right side
    72,406.48x = 4,472,178,065.28
  5. Step 5: Solve for x
    x = 4,472,178,065.28/72,406.48
  6. Step 6: Final answer
    x = 61,764.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.