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Finding the Fourth Proportional to 89,483.64, 123,487.50 and 49,200

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Solution

The fourth proportional to 89,483.64, 123,487.50 and 49,200 is: 67,896.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,483.64 : 123,487.50 = 49,200 : x
  2. Step 2: Convert to fraction form
    89,483.64/123,487.50 = 49,200/x
  3. Step 3: Cross multiply
    89,483.64x = 123,487.50 × 49,200
  4. Step 4: Simplify right side
    89,483.64x = 6,075,585,000
  5. Step 5: Solve for x
    x = 6,075,585,000/89,483.64
  6. Step 6: Final answer
    x = 67,896.04

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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.