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Finding the Fourth Proportional to 100,484.94, 150,730.59 and 50,537.76

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Solution

The fourth proportional to 100,484.94, 150,730.59 and 50,537.76 is: 75,808.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,484.94 : 150,730.59 = 50,537.76 : x
  2. Step 2: Convert to fraction form
    100,484.94/150,730.59 = 50,537.76/x
  3. Step 3: Cross multiply
    100,484.94x = 150,730.59 × 50,537.76
  4. Step 4: Simplify right side
    100,484.94x = 7,617,586,382.08
  5. Step 5: Solve for x
    x = 7,617,586,382.08/100,484.94
  6. Step 6: Final answer
    x = 75,808.24

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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.