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Finding the Fourth Proportional to 89,482.46, 123,485.87 and 49,196.90

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Solution

The fourth proportional to 89,482.46, 123,485.87 and 49,196.90 is: 67,891.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,482.46 : 123,485.87 = 49,196.90 : x
  2. Step 2: Convert to fraction form
    89,482.46/123,485.87 = 49,196.90/x
  3. Step 3: Cross multiply
    89,482.46x = 123,485.87 × 49,196.90
  4. Step 4: Simplify right side
    89,482.46x = 6,075,122,429.51
  5. Step 5: Solve for x
    x = 6,075,122,429.51/89,482.46
  6. Step 6: Final answer
    x = 67,891.77

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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.