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Finding the Fourth Proportional to 91,409.64, 137,097.64 and 41,477.73

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Solution

The fourth proportional to 91,409.64, 137,097.64 and 41,477.73 is: 62,208.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,409.64 : 137,097.64 = 41,477.73 : x
  2. Step 2: Convert to fraction form
    91,409.64/137,097.64 = 41,477.73/x
  3. Step 3: Cross multiply
    91,409.64x = 137,097.64 × 41,477.73
  4. Step 4: Simplify right side
    91,409.64x = 5,686,498,895.56
  5. Step 5: Solve for x
    x = 5,686,498,895.56/91,409.64
  6. Step 6: Final answer
    x = 62,208.96

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Why These Related Problems?

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