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Finding the Fourth Proportional to 51,307.80, 76,815.90 and 45,475.80

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Solution

The fourth proportional to 51,307.80, 76,815.90 and 45,475.80 is: 68,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,307.80 : 76,815.90 = 45,475.80 : x
  2. Step 2: Convert to fraction form
    51,307.80/76,815.90 = 45,475.80/x
  3. Step 3: Cross multiply
    51,307.80x = 76,815.90 × 45,475.80
  4. Step 4: Simplify right side
    51,307.80x = 3,493,264,505.22
  5. Step 5: Solve for x
    x = 3,493,264,505.22/51,307.80
  6. Step 6: Final answer
    x = 68,084.47

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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.