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Finding the Fourth Proportional to 34,653.69, 51,729.87 and 30,449.89

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Solution

The fourth proportional to 34,653.69, 51,729.87 and 30,449.89 is: 45,454.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,653.69 : 51,729.87 = 30,449.89 : x
  2. Step 2: Convert to fraction form
    34,653.69/51,729.87 = 30,449.89/x
  3. Step 3: Cross multiply
    34,653.69x = 51,729.87 × 30,449.89
  4. Step 4: Simplify right side
    34,653.69x = 1,575,169,030.06
  5. Step 5: Solve for x
    x = 1,575,169,030.06/34,653.69
  6. Step 6: Final answer
    x = 45,454.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.