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Finding the Fourth Proportional to 30,836.69, 46,273.49 and 13,306.52

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Solution

The fourth proportional to 30,836.69, 46,273.49 and 13,306.52 is: 19,967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,836.69 : 46,273.49 = 13,306.52 : x
  2. Step 2: Convert to fraction form
    30,836.69/46,273.49 = 13,306.52/x
  3. Step 3: Cross multiply
    30,836.69x = 46,273.49 × 13,306.52
  4. Step 4: Simplify right side
    30,836.69x = 615,739,053.62
  5. Step 5: Solve for x
    x = 615,739,053.62/30,836.69
  6. Step 6: Final answer
    x = 19,967.74

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