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Finding the Fourth Proportional to 89,482.84, 123,487.15 and 49,196.89

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Solution

The fourth proportional to 89,482.84, 123,487.15 and 49,196.89 is: 67,892.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,482.84 : 123,487.15 = 49,196.89 : x
  2. Step 2: Convert to fraction form
    89,482.84/123,487.15 = 49,196.89/x
  3. Step 3: Cross multiply
    89,482.84x = 123,487.15 × 49,196.89
  4. Step 4: Simplify right side
    89,482.84x = 6,075,183,163.96
  5. Step 5: Solve for x
    x = 6,075,183,163.96/89,482.84
  6. Step 6: Final answer
    x = 67,892.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.