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Finding the Fourth Proportional to 99,482.46, 149,233.44 and 29,381.82

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Solution

The fourth proportional to 99,482.46, 149,233.44 and 29,381.82 is: 44,075.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,482.46 : 149,233.44 = 29,381.82 : x
  2. Step 2: Convert to fraction form
    99,482.46/149,233.44 = 29,381.82/x
  3. Step 3: Cross multiply
    99,482.46x = 149,233.44 × 29,381.82
  4. Step 4: Simplify right side
    99,482.46x = 4,384,750,072.06
  5. Step 5: Solve for x
    x = 4,384,750,072.06/99,482.46
  6. Step 6: Final answer
    x = 44,075.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.