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Finding the Fourth Proportional to 49,140.84, 73,711.27 and 14,080.50

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Solution

The fourth proportional to 49,140.84, 73,711.27 and 14,080.50 is: 21,120.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,140.84 : 73,711.27 = 14,080.50 : x
  2. Step 2: Convert to fraction form
    49,140.84/73,711.27 = 14,080.50/x
  3. Step 3: Cross multiply
    49,140.84x = 73,711.27 × 14,080.50
  4. Step 4: Simplify right side
    49,140.84x = 1,037,891,475.63
  5. Step 5: Solve for x
    x = 1,037,891,475.63/49,140.84
  6. Step 6: Final answer
    x = 21,120.75

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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.