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Finding the Fourth Proportional to 45,205.38, 62,345.46 and 29,075.34

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Solution

The fourth proportional to 45,205.38, 62,345.46 and 29,075.34 is: 40,099.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,205.38 : 62,345.46 = 29,075.34 : x
  2. Step 2: Convert to fraction form
    45,205.38/62,345.46 = 29,075.34/x
  3. Step 3: Cross multiply
    45,205.38x = 62,345.46 × 29,075.34
  4. Step 4: Simplify right side
    45,205.38x = 1,812,715,446.96
  5. Step 5: Solve for x
    x = 1,812,715,446.96/45,205.38
  6. Step 6: Final answer
    x = 40,099.55

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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.